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Finding the Fourth Proportional to 3,463.64, 4,781.56 and 2,138.08

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Solution

The fourth proportional to 3,463.64, 4,781.56 and 2,138.08 is: 2,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.64 : 4,781.56 = 2,138.08 : x
  2. Step 2: Convert to fraction form
    3,463.64/4,781.56 = 2,138.08/x
  3. Step 3: Cross multiply
    3,463.64x = 4,781.56 × 2,138.08
  4. Step 4: Simplify right side
    3,463.64x = 10,223,357.80
  5. Step 5: Solve for x
    x = 10,223,357.80/3,463.64
  6. Step 6: Final answer
    x = 2,951.62

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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.