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Finding the Fourth Proportional to 3,700.64, 5,553.84 and 3,470.96

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Solution

The fourth proportional to 3,700.64, 5,553.84 and 3,470.96 is: 5,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.64 : 5,553.84 = 3,470.96 : x
  2. Step 2: Convert to fraction form
    3,700.64/5,553.84 = 3,470.96/x
  3. Step 3: Cross multiply
    3,700.64x = 5,553.84 × 3,470.96
  4. Step 4: Simplify right side
    3,700.64x = 19,277,156.49
  5. Step 5: Solve for x
    x = 19,277,156.49/3,700.64
  6. Step 6: Final answer
    x = 5,209.14

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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.