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Finding the Fourth Proportional to 3,463.38, 5,195.02 and 1,123.46

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Solution

The fourth proportional to 3,463.38, 5,195.02 and 1,123.46 is: 1,685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.38 : 5,195.02 = 1,123.46 : x
  2. Step 2: Convert to fraction form
    3,463.38/5,195.02 = 1,123.46/x
  3. Step 3: Cross multiply
    3,463.38x = 5,195.02 × 1,123.46
  4. Step 4: Simplify right side
    3,463.38x = 5,836,397.17
  5. Step 5: Solve for x
    x = 5,836,397.17/3,463.38
  6. Step 6: Final answer
    x = 1,685.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.