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Finding the Fourth Proportional to 5,175.76, 7,757.01 and 2,542.63

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Solution

The fourth proportional to 5,175.76, 7,757.01 and 2,542.63 is: 3,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.76 : 7,757.01 = 2,542.63 : x
  2. Step 2: Convert to fraction form
    5,175.76/7,757.01 = 2,542.63/x
  3. Step 3: Cross multiply
    5,175.76x = 7,757.01 × 2,542.63
  4. Step 4: Simplify right side
    5,175.76x = 19,723,206.34
  5. Step 5: Solve for x
    x = 19,723,206.34/5,175.76
  6. Step 6: Final answer
    x = 3,810.69

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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.