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Finding the Fourth Proportional to 4,115.54, 5,680.50 and 2,542.74

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Solution

The fourth proportional to 4,115.54, 5,680.50 and 2,542.74 is: 3,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.54 : 5,680.50 = 2,542.74 : x
  2. Step 2: Convert to fraction form
    4,115.54/5,680.50 = 2,542.74/x
  3. Step 3: Cross multiply
    4,115.54x = 5,680.50 × 2,542.74
  4. Step 4: Simplify right side
    4,115.54x = 14,444,034.57
  5. Step 5: Solve for x
    x = 14,444,034.57/4,115.54
  6. Step 6: Final answer
    x = 3,509.63

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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.