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Finding the Fourth Proportional to 4,275.90, 6,397.65 and 2,817.90

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Solution

The fourth proportional to 4,275.90, 6,397.65 and 2,817.90 is: 4,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.90 : 6,397.65 = 2,817.90 : x
  2. Step 2: Convert to fraction form
    4,275.90/6,397.65 = 2,817.90/x
  3. Step 3: Cross multiply
    4,275.90x = 6,397.65 × 2,817.90
  4. Step 4: Simplify right side
    4,275.90x = 18,027,937.94
  5. Step 5: Solve for x
    x = 18,027,937.94/4,275.90
  6. Step 6: Final answer
    x = 4,216.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.