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Finding the Fourth Proportional to 5,024.93, 7,542 and 2,561.58

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Solution

The fourth proportional to 5,024.93, 7,542 and 2,561.58 is: 3,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.93 : 7,542 = 2,561.58 : x
  2. Step 2: Convert to fraction form
    5,024.93/7,542 = 2,561.58/x
  3. Step 3: Cross multiply
    5,024.93x = 7,542 × 2,561.58
  4. Step 4: Simplify right side
    5,024.93x = 19,319,436.36
  5. Step 5: Solve for x
    x = 19,319,436.36/5,024.93
  6. Step 6: Final answer
    x = 3,844.72

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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.