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Finding the Fourth Proportional to 5,838.68, 8,757.92 and 1,456.08

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Solution

The fourth proportional to 5,838.68, 8,757.92 and 1,456.08 is: 2,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.68 : 8,757.92 = 1,456.08 : x
  2. Step 2: Convert to fraction form
    5,838.68/8,757.92 = 1,456.08/x
  3. Step 3: Cross multiply
    5,838.68x = 8,757.92 × 1,456.08
  4. Step 4: Simplify right side
    5,838.68x = 12,752,202.95
  5. Step 5: Solve for x
    x = 12,752,202.95/5,838.68
  6. Step 6: Final answer
    x = 2,184.09

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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.