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Finding the Fourth Proportional to 3,478.32, 4,786.56 and 3,080.88

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Solution

The fourth proportional to 3,478.32, 4,786.56 and 3,080.88 is: 4,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.32 : 4,786.56 = 3,080.88 : x
  2. Step 2: Convert to fraction form
    3,478.32/4,786.56 = 3,080.88/x
  3. Step 3: Cross multiply
    3,478.32x = 4,786.56 × 3,080.88
  4. Step 4: Simplify right side
    3,478.32x = 14,746,816.97
  5. Step 5: Solve for x
    x = 14,746,816.97/3,478.32
  6. Step 6: Final answer
    x = 4,239.64

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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.