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Finding the Fourth Proportional to 5,297.58, 7,945.20 and 3,461.58

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Solution

The fourth proportional to 5,297.58, 7,945.20 and 3,461.58 is: 5,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.58 : 7,945.20 = 3,461.58 : x
  2. Step 2: Convert to fraction form
    5,297.58/7,945.20 = 3,461.58/x
  3. Step 3: Cross multiply
    5,297.58x = 7,945.20 × 3,461.58
  4. Step 4: Simplify right side
    5,297.58x = 27,502,945.42
  5. Step 5: Solve for x
    x = 27,502,945.42/5,297.58
  6. Step 6: Final answer
    x = 5,191.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.