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Finding the Fourth Proportional to 5,906, 8,856.92 and 1,744.90

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Solution

The fourth proportional to 5,906, 8,856.92 and 1,744.90 is: 2,616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906 : 8,856.92 = 1,744.90 : x
  2. Step 2: Convert to fraction form
    5,906/8,856.92 = 1,744.90/x
  3. Step 3: Cross multiply
    5,906x = 8,856.92 × 1,744.90
  4. Step 4: Simplify right side
    5,906x = 15,454,439.71
  5. Step 5: Solve for x
    x = 15,454,439.71/5,906
  6. Step 6: Final answer
    x = 2,616.74

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Why These Related Problems?

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