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Finding the Fourth Proportional to 3,253.86, 4,490.46 and 2,309.99

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Solution

The fourth proportional to 3,253.86, 4,490.46 and 2,309.99 is: 3,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.86 : 4,490.46 = 2,309.99 : x
  2. Step 2: Convert to fraction form
    3,253.86/4,490.46 = 2,309.99/x
  3. Step 3: Cross multiply
    3,253.86x = 4,490.46 × 2,309.99
  4. Step 4: Simplify right side
    3,253.86x = 10,372,895.24
  5. Step 5: Solve for x
    x = 10,372,895.24/3,253.86
  6. Step 6: Final answer
    x = 3,187.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.