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Finding the Fourth Proportional to 4,002.69, 6,003.99 and 1,809.90

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Solution

The fourth proportional to 4,002.69, 6,003.99 and 1,809.90 is: 2,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.69 : 6,003.99 = 1,809.90 : x
  2. Step 2: Convert to fraction form
    4,002.69/6,003.99 = 1,809.90/x
  3. Step 3: Cross multiply
    4,002.69x = 6,003.99 × 1,809.90
  4. Step 4: Simplify right side
    4,002.69x = 10,866,621.50
  5. Step 5: Solve for x
    x = 10,866,621.50/4,002.69
  6. Step 6: Final answer
    x = 2,714.83

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Why These Related Problems?

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