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Finding the Fourth Proportional to 3,478.60, 4,797.72 and 3,080.68

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Solution

The fourth proportional to 3,478.60, 4,797.72 and 3,080.68 is: 4,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.60 : 4,797.72 = 3,080.68 : x
  2. Step 2: Convert to fraction form
    3,478.60/4,797.72 = 3,080.68/x
  3. Step 3: Cross multiply
    3,478.60x = 4,797.72 × 3,080.68
  4. Step 4: Simplify right side
    3,478.60x = 14,780,240.05
  5. Step 5: Solve for x
    x = 14,780,240.05/3,478.60
  6. Step 6: Final answer
    x = 4,248.90

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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.