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Finding the Fourth Proportional to 4,248.32, 5,856 and 3,891.20

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Solution

The fourth proportional to 4,248.32, 5,856 and 3,891.20 is: 5,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,248.32 : 5,856 = 3,891.20 : x
  2. Step 2: Convert to fraction form
    4,248.32/5,856 = 3,891.20/x
  3. Step 3: Cross multiply
    4,248.32x = 5,856 × 3,891.20
  4. Step 4: Simplify right side
    4,248.32x = 22,786,867.20
  5. Step 5: Solve for x
    x = 22,786,867.20/4,248.32
  6. Step 6: Final answer
    x = 5,363.74

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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.