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Finding the Fourth Proportional to 5,142.52, 7,089.76 and 4,019.04

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Solution

The fourth proportional to 5,142.52, 7,089.76 and 4,019.04 is: 5,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.52 : 7,089.76 = 4,019.04 : x
  2. Step 2: Convert to fraction form
    5,142.52/7,089.76 = 4,019.04/x
  3. Step 3: Cross multiply
    5,142.52x = 7,089.76 × 4,019.04
  4. Step 4: Simplify right side
    5,142.52x = 28,494,029.03
  5. Step 5: Solve for x
    x = 28,494,029.03/5,142.52
  6. Step 6: Final answer
    x = 5,540.87

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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.