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Finding the Fourth Proportional to 5,175.25, 7,142.07 and 2,937.13

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Solution

The fourth proportional to 5,175.25, 7,142.07 and 2,937.13 is: 4,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.25 : 7,142.07 = 2,937.13 : x
  2. Step 2: Convert to fraction form
    5,175.25/7,142.07 = 2,937.13/x
  3. Step 3: Cross multiply
    5,175.25x = 7,142.07 × 2,937.13
  4. Step 4: Simplify right side
    5,175.25x = 20,977,188.06
  5. Step 5: Solve for x
    x = 20,977,188.06/5,175.25
  6. Step 6: Final answer
    x = 4,053.37

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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.