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Finding the Fourth Proportional to 5,052.62, 7,578.74 and 1,542.48

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Solution

The fourth proportional to 5,052.62, 7,578.74 and 1,542.48 is: 2,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.62 : 7,578.74 = 1,542.48 : x
  2. Step 2: Convert to fraction form
    5,052.62/7,578.74 = 1,542.48/x
  3. Step 3: Cross multiply
    5,052.62x = 7,578.74 × 1,542.48
  4. Step 4: Simplify right side
    5,052.62x = 11,690,047.16
  5. Step 5: Solve for x
    x = 11,690,047.16/5,052.62
  6. Step 6: Final answer
    x = 2,313.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.