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Finding the Fourth Proportional to 4,393.80, 6,575.81 and 2,542.14

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Solution

The fourth proportional to 4,393.80, 6,575.81 and 2,542.14 is: 3,804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.80 : 6,575.81 = 2,542.14 : x
  2. Step 2: Convert to fraction form
    4,393.80/6,575.81 = 2,542.14/x
  3. Step 3: Cross multiply
    4,393.80x = 6,575.81 × 2,542.14
  4. Step 4: Simplify right side
    4,393.80x = 16,716,616.92
  5. Step 5: Solve for x
    x = 16,716,616.92/4,393.80
  6. Step 6: Final answer
    x = 3,804.59

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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.