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Finding the Fourth Proportional to 4,718.65, 6,512.10 and 2,830.31

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Solution

The fourth proportional to 4,718.65, 6,512.10 and 2,830.31 is: 3,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.65 : 6,512.10 = 2,830.31 : x
  2. Step 2: Convert to fraction form
    4,718.65/6,512.10 = 2,830.31/x
  3. Step 3: Cross multiply
    4,718.65x = 6,512.10 × 2,830.31
  4. Step 4: Simplify right side
    4,718.65x = 18,431,229.19
  5. Step 5: Solve for x
    x = 18,431,229.19/4,718.65
  6. Step 6: Final answer
    x = 3,906.04

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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.