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Finding the Fourth Proportional to 5,277.69, 7,909.13 and 4,102.31

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Solution

The fourth proportional to 5,277.69, 7,909.13 and 4,102.31 is: 6,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.69 : 7,909.13 = 4,102.31 : x
  2. Step 2: Convert to fraction form
    5,277.69/7,909.13 = 4,102.31/x
  3. Step 3: Cross multiply
    5,277.69x = 7,909.13 × 4,102.31
  4. Step 4: Simplify right side
    5,277.69x = 32,445,733.12
  5. Step 5: Solve for x
    x = 32,445,733.12/5,277.69
  6. Step 6: Final answer
    x = 6,147.71

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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.