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Finding the Fourth Proportional to 5,248.64, 7,872.82 and 2,127.81

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Solution

The fourth proportional to 5,248.64, 7,872.82 and 2,127.81 is: 3,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.64 : 7,872.82 = 2,127.81 : x
  2. Step 2: Convert to fraction form
    5,248.64/7,872.82 = 2,127.81/x
  3. Step 3: Cross multiply
    5,248.64x = 7,872.82 × 2,127.81
  4. Step 4: Simplify right side
    5,248.64x = 16,751,815.12
  5. Step 5: Solve for x
    x = 16,751,815.12/5,248.64
  6. Step 6: Final answer
    x = 3,191.65

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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.