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Finding the Fourth Proportional to 4,542.32, 6,813.88 and 1,255.41

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Solution

The fourth proportional to 4,542.32, 6,813.88 and 1,255.41 is: 1,883.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.32 : 6,813.88 = 1,255.41 : x
  2. Step 2: Convert to fraction form
    4,542.32/6,813.88 = 1,255.41/x
  3. Step 3: Cross multiply
    4,542.32x = 6,813.88 × 1,255.41
  4. Step 4: Simplify right side
    4,542.32x = 8,554,209.95
  5. Step 5: Solve for x
    x = 8,554,209.95/4,542.32
  6. Step 6: Final answer
    x = 1,883.22

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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.