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Finding the Fourth Proportional to 3,773.50, 5,666.04 and 3,607.12

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Solution

The fourth proportional to 3,773.50, 5,666.04 and 3,607.12 is: 5,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.50 : 5,666.04 = 3,607.12 : x
  2. Step 2: Convert to fraction form
    3,773.50/5,666.04 = 3,607.12/x
  3. Step 3: Cross multiply
    3,773.50x = 5,666.04 × 3,607.12
  4. Step 4: Simplify right side
    3,773.50x = 20,438,086.20
  5. Step 5: Solve for x
    x = 20,438,086.20/3,773.50
  6. Step 6: Final answer
    x = 5,416.21

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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.