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Finding the Fourth Proportional to 5,498.96, 8,248.08 and 2,577.92

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Solution

The fourth proportional to 5,498.96, 8,248.08 and 2,577.92 is: 3,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.96 : 8,248.08 = 2,577.92 : x
  2. Step 2: Convert to fraction form
    5,498.96/8,248.08 = 2,577.92/x
  3. Step 3: Cross multiply
    5,498.96x = 8,248.08 × 2,577.92
  4. Step 4: Simplify right side
    5,498.96x = 21,262,890.39
  5. Step 5: Solve for x
    x = 21,262,890.39/5,498.96
  6. Step 6: Final answer
    x = 3,866.71

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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.