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Finding the Fourth Proportional to 3,517.80, 4,863.84 and 3,080.40

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Solution

The fourth proportional to 3,517.80, 4,863.84 and 3,080.40 is: 4,259.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.80 : 4,863.84 = 3,080.40 : x
  2. Step 2: Convert to fraction form
    3,517.80/4,863.84 = 3,080.40/x
  3. Step 3: Cross multiply
    3,517.80x = 4,863.84 × 3,080.40
  4. Step 4: Simplify right side
    3,517.80x = 14,982,572.74
  5. Step 5: Solve for x
    x = 14,982,572.74/3,517.80
  6. Step 6: Final answer
    x = 4,259.07

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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.