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Finding the Fourth Proportional to 3,691.89, 5,514.30 and 3,339.96

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Solution

The fourth proportional to 3,691.89, 5,514.30 and 3,339.96 is: 4,988.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.89 : 5,514.30 = 3,339.96 : x
  2. Step 2: Convert to fraction form
    3,691.89/5,514.30 = 3,339.96/x
  3. Step 3: Cross multiply
    3,691.89x = 5,514.30 × 3,339.96
  4. Step 4: Simplify right side
    3,691.89x = 18,417,541.43
  5. Step 5: Solve for x
    x = 18,417,541.43/3,691.89
  6. Step 6: Final answer
    x = 4,988.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.