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Finding the Fourth Proportional to 5,469.70, 7,549.05 and 3,478.18

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Solution

The fourth proportional to 5,469.70, 7,549.05 and 3,478.18 is: 4,800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.70 : 7,549.05 = 3,478.18 : x
  2. Step 2: Convert to fraction form
    5,469.70/7,549.05 = 3,478.18/x
  3. Step 3: Cross multiply
    5,469.70x = 7,549.05 × 3,478.18
  4. Step 4: Simplify right side
    5,469.70x = 26,256,954.73
  5. Step 5: Solve for x
    x = 26,256,954.73/5,469.70
  6. Step 6: Final answer
    x = 4,800.44

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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.