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Finding the Fourth Proportional to 4,280.27, 5,906.81 and 2,417.27

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Solution

The fourth proportional to 4,280.27, 5,906.81 and 2,417.27 is: 3,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280.27 : 5,906.81 = 2,417.27 : x
  2. Step 2: Convert to fraction form
    4,280.27/5,906.81 = 2,417.27/x
  3. Step 3: Cross multiply
    4,280.27x = 5,906.81 × 2,417.27
  4. Step 4: Simplify right side
    4,280.27x = 14,278,342.52
  5. Step 5: Solve for x
    x = 14,278,342.52/4,280.27
  6. Step 6: Final answer
    x = 3,335.85

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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.