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Finding the Fourth Proportional to 5,449.77, 8,178.11 and 2,329.80

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Solution

The fourth proportional to 5,449.77, 8,178.11 and 2,329.80 is: 3,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.77 : 8,178.11 = 2,329.80 : x
  2. Step 2: Convert to fraction form
    5,449.77/8,178.11 = 2,329.80/x
  3. Step 3: Cross multiply
    5,449.77x = 8,178.11 × 2,329.80
  4. Step 4: Simplify right side
    5,449.77x = 19,053,349.03
  5. Step 5: Solve for x
    x = 19,053,349.03/5,449.77
  6. Step 6: Final answer
    x = 3,496.17

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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.