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Finding the Fourth Proportional to 5,147.97, 7,106.01 and 3,131.42

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Solution

The fourth proportional to 5,147.97, 7,106.01 and 3,131.42 is: 4,322.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.97 : 7,106.01 = 3,131.42 : x
  2. Step 2: Convert to fraction form
    5,147.97/7,106.01 = 3,131.42/x
  3. Step 3: Cross multiply
    5,147.97x = 7,106.01 × 3,131.42
  4. Step 4: Simplify right side
    5,147.97x = 22,251,866.30
  5. Step 5: Solve for x
    x = 22,251,866.30/5,147.97
  6. Step 6: Final answer
    x = 4,322.45

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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.