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Finding the Fourth Proportional to 4,635.68, 6,397.25 and 2,646.20

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Solution

The fourth proportional to 4,635.68, 6,397.25 and 2,646.20 is: 3,651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.68 : 6,397.25 = 2,646.20 : x
  2. Step 2: Convert to fraction form
    4,635.68/6,397.25 = 2,646.20/x
  3. Step 3: Cross multiply
    4,635.68x = 6,397.25 × 2,646.20
  4. Step 4: Simplify right side
    4,635.68x = 16,928,357.73
  5. Step 5: Solve for x
    x = 16,928,357.73/4,635.68
  6. Step 6: Final answer
    x = 3,651.75

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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.