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Finding the Fourth Proportional to 5,175.86, 7,141.50 and 2,937.20

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Solution

The fourth proportional to 5,175.86, 7,141.50 and 2,937.20 is: 4,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.86 : 7,141.50 = 2,937.20 : x
  2. Step 2: Convert to fraction form
    5,175.86/7,141.50 = 2,937.20/x
  3. Step 3: Cross multiply
    5,175.86x = 7,141.50 × 2,937.20
  4. Step 4: Simplify right side
    5,175.86x = 20,976,013.80
  5. Step 5: Solve for x
    x = 20,976,013.80/5,175.86
  6. Step 6: Final answer
    x = 4,052.66

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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.