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Finding the Fourth Proportional to 3,731.74, 5,145.87 and 3,202.54

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Solution

The fourth proportional to 3,731.74, 5,145.87 and 3,202.54 is: 4,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.74 : 5,145.87 = 3,202.54 : x
  2. Step 2: Convert to fraction form
    3,731.74/5,145.87 = 3,202.54/x
  3. Step 3: Cross multiply
    3,731.74x = 5,145.87 × 3,202.54
  4. Step 4: Simplify right side
    3,731.74x = 16,479,854.51
  5. Step 5: Solve for x
    x = 16,479,854.51/3,731.74
  6. Step 6: Final answer
    x = 4,416.13

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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.