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Finding the Fourth Proportional to 3,729.96, 5,146.30 and 2,404.43

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Solution

The fourth proportional to 3,729.96, 5,146.30 and 2,404.43 is: 3,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.96 : 5,146.30 = 2,404.43 : x
  2. Step 2: Convert to fraction form
    3,729.96/5,146.30 = 2,404.43/x
  3. Step 3: Cross multiply
    3,729.96x = 5,146.30 × 2,404.43
  4. Step 4: Simplify right side
    3,729.96x = 12,373,918.11
  5. Step 5: Solve for x
    x = 12,373,918.11/3,729.96
  6. Step 6: Final answer
    x = 3,317.44

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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.