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Finding the Fourth Proportional to 5,114.88, 7,061.76 and 3,542.40

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Solution

The fourth proportional to 5,114.88, 7,061.76 and 3,542.40 is: 4,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.88 : 7,061.76 = 3,542.40 : x
  2. Step 2: Convert to fraction form
    5,114.88/7,061.76 = 3,542.40/x
  3. Step 3: Cross multiply
    5,114.88x = 7,061.76 × 3,542.40
  4. Step 4: Simplify right side
    5,114.88x = 25,015,578.62
  5. Step 5: Solve for x
    x = 25,015,578.62/5,114.88
  6. Step 6: Final answer
    x = 4,890.75

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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.