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Finding the Fourth Proportional to 4,001.76, 6,002.64 and 1,080.29

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Solution

The fourth proportional to 4,001.76, 6,002.64 and 1,080.29 is: 1,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.76 : 6,002.64 = 1,080.29 : x
  2. Step 2: Convert to fraction form
    4,001.76/6,002.64 = 1,080.29/x
  3. Step 3: Cross multiply
    4,001.76x = 6,002.64 × 1,080.29
  4. Step 4: Simplify right side
    4,001.76x = 6,484,606.97
  5. Step 5: Solve for x
    x = 6,484,606.97/4,001.76
  6. Step 6: Final answer
    x = 1,620.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.