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Finding the Fourth Proportional to 3,707.32, 5,115.81 and 2,135.53

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Solution

The fourth proportional to 3,707.32, 5,115.81 and 2,135.53 is: 2,946.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.32 : 5,115.81 = 2,135.53 : x
  2. Step 2: Convert to fraction form
    3,707.32/5,115.81 = 2,135.53/x
  3. Step 3: Cross multiply
    3,707.32x = 5,115.81 × 2,135.53
  4. Step 4: Simplify right side
    3,707.32x = 10,924,965.73
  5. Step 5: Solve for x
    x = 10,924,965.73/3,707.32
  6. Step 6: Final answer
    x = 2,946.86

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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.