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Finding the Fourth Proportional to 3,278.01, 4,546.83 and 3,159.80

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Solution

The fourth proportional to 3,278.01, 4,546.83 and 3,159.80 is: 4,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.01 : 4,546.83 = 3,159.80 : x
  2. Step 2: Convert to fraction form
    3,278.01/4,546.83 = 3,159.80/x
  3. Step 3: Cross multiply
    3,278.01x = 4,546.83 × 3,159.80
  4. Step 4: Simplify right side
    3,278.01x = 14,367,061.83
  5. Step 5: Solve for x
    x = 14,367,061.83/3,278.01
  6. Step 6: Final answer
    x = 4,382.86

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.