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Finding the Fourth Proportional to 4,327.65, 5,968.89 and 3,731.18

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Solution

The fourth proportional to 4,327.65, 5,968.89 and 3,731.18 is: 5,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.65 : 5,968.89 = 3,731.18 : x
  2. Step 2: Convert to fraction form
    4,327.65/5,968.89 = 3,731.18/x
  3. Step 3: Cross multiply
    4,327.65x = 5,968.89 × 3,731.18
  4. Step 4: Simplify right side
    4,327.65x = 22,270,973.15
  5. Step 5: Solve for x
    x = 22,270,973.15/4,327.65
  6. Step 6: Final answer
    x = 5,146.20

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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.