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Finding the Fourth Proportional to 4,002.10, 6,002.74 and 1,080.70

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Solution

The fourth proportional to 4,002.10, 6,002.74 and 1,080.70 is: 1,620.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.10 : 6,002.74 = 1,080.70 : x
  2. Step 2: Convert to fraction form
    4,002.10/6,002.74 = 1,080.70/x
  3. Step 3: Cross multiply
    4,002.10x = 6,002.74 × 1,080.70
  4. Step 4: Simplify right side
    4,002.10x = 6,487,161.12
  5. Step 5: Solve for x
    x = 6,487,161.12/4,002.10
  6. Step 6: Final answer
    x = 1,620.94

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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.