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Finding the Fourth Proportional to 5,159.59, 7,735.68 and 4,173.61

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Solution

The fourth proportional to 5,159.59, 7,735.68 and 4,173.61 is: 6,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.59 : 7,735.68 = 4,173.61 : x
  2. Step 2: Convert to fraction form
    5,159.59/7,735.68 = 4,173.61/x
  3. Step 3: Cross multiply
    5,159.59x = 7,735.68 × 4,173.61
  4. Step 4: Simplify right side
    5,159.59x = 32,285,711.40
  5. Step 5: Solve for x
    x = 32,285,711.40/5,159.59
  6. Step 6: Final answer
    x = 6,257.42

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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.