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Finding the Fourth Proportional to 5,461.89, 7,537.56 and 3,223.56

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Solution

The fourth proportional to 5,461.89, 7,537.56 and 3,223.56 is: 4,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.89 : 7,537.56 = 3,223.56 : x
  2. Step 2: Convert to fraction form
    5,461.89/7,537.56 = 3,223.56/x
  3. Step 3: Cross multiply
    5,461.89x = 7,537.56 × 3,223.56
  4. Step 4: Simplify right side
    5,461.89x = 24,297,776.91
  5. Step 5: Solve for x
    x = 24,297,776.91/5,461.89
  6. Step 6: Final answer
    x = 4,448.60

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.