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Finding the Fourth Proportional to 4,077.39, 6,115.98 and 1,304.22

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Solution

The fourth proportional to 4,077.39, 6,115.98 and 1,304.22 is: 1,956.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.39 : 6,115.98 = 1,304.22 : x
  2. Step 2: Convert to fraction form
    4,077.39/6,115.98 = 1,304.22/x
  3. Step 3: Cross multiply
    4,077.39x = 6,115.98 × 1,304.22
  4. Step 4: Simplify right side
    4,077.39x = 7,976,583.44
  5. Step 5: Solve for x
    x = 7,976,583.44/4,077.39
  6. Step 6: Final answer
    x = 1,956.30

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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.