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Finding the Fourth Proportional to 3,909.93, 5,871.89 and 3,597.02

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Solution

The fourth proportional to 3,909.93, 5,871.89 and 3,597.02 is: 5,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.93 : 5,871.89 = 3,597.02 : x
  2. Step 2: Convert to fraction form
    3,909.93/5,871.89 = 3,597.02/x
  3. Step 3: Cross multiply
    3,909.93x = 5,871.89 × 3,597.02
  4. Step 4: Simplify right side
    3,909.93x = 21,121,287.78
  5. Step 5: Solve for x
    x = 21,121,287.78/3,909.93
  6. Step 6: Final answer
    x = 5,401.97

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