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Finding the Fourth Proportional to 5,947.52, 8,929.47 and 3,027.86

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Solution

The fourth proportional to 5,947.52, 8,929.47 and 3,027.86 is: 4,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.52 : 8,929.47 = 3,027.86 : x
  2. Step 2: Convert to fraction form
    5,947.52/8,929.47 = 3,027.86/x
  3. Step 3: Cross multiply
    5,947.52x = 8,929.47 × 3,027.86
  4. Step 4: Simplify right side
    5,947.52x = 27,037,185.03
  5. Step 5: Solve for x
    x = 27,037,185.03/5,947.52
  6. Step 6: Final answer
    x = 4,545.96

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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.