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Finding the Fourth Proportional to 4,769.52, 6,585 and 3,887.43

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Solution

The fourth proportional to 4,769.52, 6,585 and 3,887.43 is: 5,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.52 : 6,585 = 3,887.43 : x
  2. Step 2: Convert to fraction form
    4,769.52/6,585 = 3,887.43/x
  3. Step 3: Cross multiply
    4,769.52x = 6,585 × 3,887.43
  4. Step 4: Simplify right side
    4,769.52x = 25,598,726.55
  5. Step 5: Solve for x
    x = 25,598,726.55/4,769.52
  6. Step 6: Final answer
    x = 5,367.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.