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Finding the Fourth Proportional to 3,690.86, 5,505.24 and 3,358.66

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Solution

The fourth proportional to 3,690.86, 5,505.24 and 3,358.66 is: 5,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.86 : 5,505.24 = 3,358.66 : x
  2. Step 2: Convert to fraction form
    3,690.86/5,505.24 = 3,358.66/x
  3. Step 3: Cross multiply
    3,690.86x = 5,505.24 × 3,358.66
  4. Step 4: Simplify right side
    3,690.86x = 18,490,229.38
  5. Step 5: Solve for x
    x = 18,490,229.38/3,690.86
  6. Step 6: Final answer
    x = 5,009.73

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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.