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Finding the Fourth Proportional to 5,175.64, 7,142.18 and 2,937.47

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Solution

The fourth proportional to 5,175.64, 7,142.18 and 2,937.47 is: 4,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.64 : 7,142.18 = 2,937.47 : x
  2. Step 2: Convert to fraction form
    5,175.64/7,142.18 = 2,937.47/x
  3. Step 3: Cross multiply
    5,175.64x = 7,142.18 × 2,937.47
  4. Step 4: Simplify right side
    5,175.64x = 20,979,889.09
  5. Step 5: Solve for x
    x = 20,979,889.09/5,175.64
  6. Step 6: Final answer
    x = 4,053.59

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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.