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Finding the Fourth Proportional to 3,729.57, 5,145.30 and 2,404.02

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Solution

The fourth proportional to 3,729.57, 5,145.30 and 2,404.02 is: 3,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.57 : 5,145.30 = 2,404.02 : x
  2. Step 2: Convert to fraction form
    3,729.57/5,145.30 = 2,404.02/x
  3. Step 3: Cross multiply
    3,729.57x = 5,145.30 × 2,404.02
  4. Step 4: Simplify right side
    3,729.57x = 12,369,404.11
  5. Step 5: Solve for x
    x = 12,369,404.11/3,729.57
  6. Step 6: Final answer
    x = 3,316.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.