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Finding the Fourth Proportional to 3,909.63, 5,862.60 and 2,266.63

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Solution

The fourth proportional to 3,909.63, 5,862.60 and 2,266.63 is: 3,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.63 : 5,862.60 = 2,266.63 : x
  2. Step 2: Convert to fraction form
    3,909.63/5,862.60 = 2,266.63/x
  3. Step 3: Cross multiply
    3,909.63x = 5,862.60 × 2,266.63
  4. Step 4: Simplify right side
    3,909.63x = 13,288,345.04
  5. Step 5: Solve for x
    x = 13,288,345.04/3,909.63
  6. Step 6: Final answer
    x = 3,398.88

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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.