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Finding the Fourth Proportional to 3,208.08, 4,425.84 and 1,949.16

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Solution

The fourth proportional to 3,208.08, 4,425.84 and 1,949.16 is: 2,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.08 : 4,425.84 = 1,949.16 : x
  2. Step 2: Convert to fraction form
    3,208.08/4,425.84 = 1,949.16/x
  3. Step 3: Cross multiply
    3,208.08x = 4,425.84 × 1,949.16
  4. Step 4: Simplify right side
    3,208.08x = 8,626,670.29
  5. Step 5: Solve for x
    x = 8,626,670.29/3,208.08
  6. Step 6: Final answer
    x = 2,689.04

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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.