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Finding the Fourth Proportional to 3,730.62, 5,148.37 and 2,052.10

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Solution

The fourth proportional to 3,730.62, 5,148.37 and 2,052.10 is: 2,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.62 : 5,148.37 = 2,052.10 : x
  2. Step 2: Convert to fraction form
    3,730.62/5,148.37 = 2,052.10/x
  3. Step 3: Cross multiply
    3,730.62x = 5,148.37 × 2,052.10
  4. Step 4: Simplify right side
    3,730.62x = 10,564,970.08
  5. Step 5: Solve for x
    x = 10,564,970.08/3,730.62
  6. Step 6: Final answer
    x = 2,831.96

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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.