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Finding the Fourth Proportional to 3,473.73, 5,209.02 and 1,280.91

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Solution

The fourth proportional to 3,473.73, 5,209.02 and 1,280.91 is: 1,920.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.73 : 5,209.02 = 1,280.91 : x
  2. Step 2: Convert to fraction form
    3,473.73/5,209.02 = 1,280.91/x
  3. Step 3: Cross multiply
    3,473.73x = 5,209.02 × 1,280.91
  4. Step 4: Simplify right side
    3,473.73x = 6,672,285.81
  5. Step 5: Solve for x
    x = 6,672,285.81/3,473.73
  6. Step 6: Final answer
    x = 1,920.78

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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.