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Finding the Fourth Proportional to 4,878.12, 6,731.82 and 2,782.20

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Solution

The fourth proportional to 4,878.12, 6,731.82 and 2,782.20 is: 3,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.12 : 6,731.82 = 2,782.20 : x
  2. Step 2: Convert to fraction form
    4,878.12/6,731.82 = 2,782.20/x
  3. Step 3: Cross multiply
    4,878.12x = 6,731.82 × 2,782.20
  4. Step 4: Simplify right side
    4,878.12x = 18,729,269.60
  5. Step 5: Solve for x
    x = 18,729,269.60/4,878.12
  6. Step 6: Final answer
    x = 3,839.44

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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.