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Finding the Fourth Proportional to 3,279.83, 4,530.24 and 2,382.17

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Solution

The fourth proportional to 3,279.83, 4,530.24 and 2,382.17 is: 3,290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.83 : 4,530.24 = 2,382.17 : x
  2. Step 2: Convert to fraction form
    3,279.83/4,530.24 = 2,382.17/x
  3. Step 3: Cross multiply
    3,279.83x = 4,530.24 × 2,382.17
  4. Step 4: Simplify right side
    3,279.83x = 10,791,779.17
  5. Step 5: Solve for x
    x = 10,791,779.17/3,279.83
  6. Step 6: Final answer
    x = 3,290.35

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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.