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Finding the Fourth Proportional to 5,062.65, 6,986.30 and 3,175.30

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Solution

The fourth proportional to 5,062.65, 6,986.30 and 3,175.30 is: 4,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.65 : 6,986.30 = 3,175.30 : x
  2. Step 2: Convert to fraction form
    5,062.65/6,986.30 = 3,175.30/x
  3. Step 3: Cross multiply
    5,062.65x = 6,986.30 × 3,175.30
  4. Step 4: Simplify right side
    5,062.65x = 22,183,609.11
  5. Step 5: Solve for x
    x = 22,183,609.11/5,062.65
  6. Step 6: Final answer
    x = 4,381.82

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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.