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Finding the Fourth Proportional to 6,139.80, 8,468.55 and 3,782.70

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Solution

The fourth proportional to 6,139.80, 8,468.55 and 3,782.70 is: 5,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.80 : 8,468.55 = 3,782.70 : x
  2. Step 2: Convert to fraction form
    6,139.80/8,468.55 = 3,782.70/x
  3. Step 3: Cross multiply
    6,139.80x = 8,468.55 × 3,782.70
  4. Step 4: Simplify right side
    6,139.80x = 32,033,984.09
  5. Step 5: Solve for x
    x = 32,033,984.09/6,139.80
  6. Step 6: Final answer
    x = 5,217.43

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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.