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Finding the Fourth Proportional to 3,730.68, 5,148.35 and 2,052.09

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Solution

The fourth proportional to 3,730.68, 5,148.35 and 2,052.09 is: 2,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.68 : 5,148.35 = 2,052.09 : x
  2. Step 2: Convert to fraction form
    3,730.68/5,148.35 = 2,052.09/x
  3. Step 3: Cross multiply
    3,730.68x = 5,148.35 × 2,052.09
  4. Step 4: Simplify right side
    3,730.68x = 10,564,867.29
  5. Step 5: Solve for x
    x = 10,564,867.29/3,730.68
  6. Step 6: Final answer
    x = 2,831.89

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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.