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Finding the Fourth Proportional to 3,730.27, 5,146.30 and 2,404.75

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Solution

The fourth proportional to 3,730.27, 5,146.30 and 2,404.75 is: 3,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.27 : 5,146.30 = 2,404.75 : x
  2. Step 2: Convert to fraction form
    3,730.27/5,146.30 = 2,404.75/x
  3. Step 3: Cross multiply
    3,730.27x = 5,146.30 × 2,404.75
  4. Step 4: Simplify right side
    3,730.27x = 12,375,564.93
  5. Step 5: Solve for x
    x = 12,375,564.93/3,730.27
  6. Step 6: Final answer
    x = 3,317.61

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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.