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Finding the Fourth Proportional to 4,724.12, 6,519 and 2,734.52

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Solution

The fourth proportional to 4,724.12, 6,519 and 2,734.52 is: 3,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.12 : 6,519 = 2,734.52 : x
  2. Step 2: Convert to fraction form
    4,724.12/6,519 = 2,734.52/x
  3. Step 3: Cross multiply
    4,724.12x = 6,519 × 2,734.52
  4. Step 4: Simplify right side
    4,724.12x = 17,826,335.88
  5. Step 5: Solve for x
    x = 17,826,335.88/4,724.12
  6. Step 6: Final answer
    x = 3,773.47

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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.