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Finding the Fourth Proportional to 5,065.96, 7,591.38 and 4,147.96

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Solution

The fourth proportional to 5,065.96, 7,591.38 and 4,147.96 is: 6,215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.96 : 7,591.38 = 4,147.96 : x
  2. Step 2: Convert to fraction form
    5,065.96/7,591.38 = 4,147.96/x
  3. Step 3: Cross multiply
    5,065.96x = 7,591.38 × 4,147.96
  4. Step 4: Simplify right side
    5,065.96x = 31,488,740.58
  5. Step 5: Solve for x
    x = 31,488,740.58/5,065.96
  6. Step 6: Final answer
    x = 6,215.75

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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.