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Finding the Fourth Proportional to 5,189.92, 7,159.47 and 3,420.88

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Solution

The fourth proportional to 5,189.92, 7,159.47 and 3,420.88 is: 4,719.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.92 : 7,159.47 = 3,420.88 : x
  2. Step 2: Convert to fraction form
    5,189.92/7,159.47 = 3,420.88/x
  3. Step 3: Cross multiply
    5,189.92x = 7,159.47 × 3,420.88
  4. Step 4: Simplify right side
    5,189.92x = 24,491,687.73
  5. Step 5: Solve for x
    x = 24,491,687.73/5,189.92
  6. Step 6: Final answer
    x = 4,719.09

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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.