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Finding the Fourth Proportional to 3,730.64, 5,148.17 and 2,052.04

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Solution

The fourth proportional to 3,730.64, 5,148.17 and 2,052.04 is: 2,831.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.64 : 5,148.17 = 2,052.04 : x
  2. Step 2: Convert to fraction form
    3,730.64/5,148.17 = 2,052.04/x
  3. Step 3: Cross multiply
    3,730.64x = 5,148.17 × 2,052.04
  4. Step 4: Simplify right side
    3,730.64x = 10,564,245.64
  5. Step 5: Solve for x
    x = 10,564,245.64/3,730.64
  6. Step 6: Final answer
    x = 2,831.76

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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.