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Finding the Fourth Proportional to 4,717.68, 6,511.52 and 2,728.74

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Solution

The fourth proportional to 4,717.68, 6,511.52 and 2,728.74 is: 3,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.68 : 6,511.52 = 2,728.74 : x
  2. Step 2: Convert to fraction form
    4,717.68/6,511.52 = 2,728.74/x
  3. Step 3: Cross multiply
    4,717.68x = 6,511.52 × 2,728.74
  4. Step 4: Simplify right side
    4,717.68x = 17,768,245.08
  5. Step 5: Solve for x
    x = 17,768,245.08/4,717.68
  6. Step 6: Final answer
    x = 3,766.31

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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.