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Finding the Fourth Proportional to 3,688.86, 5,502.26 and 3,356.66

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Solution

The fourth proportional to 3,688.86, 5,502.26 and 3,356.66 is: 5,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.86 : 5,502.26 = 3,356.66 : x
  2. Step 2: Convert to fraction form
    3,688.86/5,502.26 = 3,356.66/x
  3. Step 3: Cross multiply
    3,688.86x = 5,502.26 × 3,356.66
  4. Step 4: Simplify right side
    3,688.86x = 18,469,216.05
  5. Step 5: Solve for x
    x = 18,469,216.05/3,688.86
  6. Step 6: Final answer
    x = 5,006.75

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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.