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Finding the Fourth Proportional to 4,571.52, 6,865.60 and 4,385.92

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Solution

The fourth proportional to 4,571.52, 6,865.60 and 4,385.92 is: 6,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.52 : 6,865.60 = 4,385.92 : x
  2. Step 2: Convert to fraction form
    4,571.52/6,865.60 = 4,385.92/x
  3. Step 3: Cross multiply
    4,571.52x = 6,865.60 × 4,385.92
  4. Step 4: Simplify right side
    4,571.52x = 30,111,972.35
  5. Step 5: Solve for x
    x = 30,111,972.35/4,571.52
  6. Step 6: Final answer
    x = 6,586.86

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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.