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Finding the Fourth Proportional to 5,147.86, 7,103.97 and 2,909.66

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Solution

The fourth proportional to 5,147.86, 7,103.97 and 2,909.66 is: 4,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.86 : 7,103.97 = 2,909.66 : x
  2. Step 2: Convert to fraction form
    5,147.86/7,103.97 = 2,909.66/x
  3. Step 3: Cross multiply
    5,147.86x = 7,103.97 × 2,909.66
  4. Step 4: Simplify right side
    5,147.86x = 20,670,137.35
  5. Step 5: Solve for x
    x = 20,670,137.35/5,147.86
  6. Step 6: Final answer
    x = 4,015.29

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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.