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Finding the Fourth Proportional to 5,107.52, 7,049.14 and 3,119.22

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Solution

The fourth proportional to 5,107.52, 7,049.14 and 3,119.22 is: 4,304.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.52 : 7,049.14 = 3,119.22 : x
  2. Step 2: Convert to fraction form
    5,107.52/7,049.14 = 3,119.22/x
  3. Step 3: Cross multiply
    5,107.52x = 7,049.14 × 3,119.22
  4. Step 4: Simplify right side
    5,107.52x = 21,987,818.47
  5. Step 5: Solve for x
    x = 21,987,818.47/5,107.52
  6. Step 6: Final answer
    x = 4,304.99

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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.