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Finding the Fourth Proportional to 3,414.80, 5,123 and 1,856.36

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Solution

The fourth proportional to 3,414.80, 5,123 and 1,856.36 is: 2,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.80 : 5,123 = 1,856.36 : x
  2. Step 2: Convert to fraction form
    3,414.80/5,123 = 1,856.36/x
  3. Step 3: Cross multiply
    3,414.80x = 5,123 × 1,856.36
  4. Step 4: Simplify right side
    3,414.80x = 9,510,132.28
  5. Step 5: Solve for x
    x = 9,510,132.28/3,414.80
  6. Step 6: Final answer
    x = 2,784.97

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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.