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Finding the Fourth Proportional to 4,049.92, 5,587.25 and 2,478.93

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Solution

The fourth proportional to 4,049.92, 5,587.25 and 2,478.93 is: 3,419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,049.92 : 5,587.25 = 2,478.93 : x
  2. Step 2: Convert to fraction form
    4,049.92/5,587.25 = 2,478.93/x
  3. Step 3: Cross multiply
    4,049.92x = 5,587.25 × 2,478.93
  4. Step 4: Simplify right side
    4,049.92x = 13,850,404.93
  5. Step 5: Solve for x
    x = 13,850,404.93/4,049.92
  6. Step 6: Final answer
    x = 3,419.92

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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.