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Finding the Fourth Proportional to 4,002.92, 6,002.46 and 1,369.64

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Solution

The fourth proportional to 4,002.92, 6,002.46 and 1,369.64 is: 2,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.92 : 6,002.46 = 1,369.64 : x
  2. Step 2: Convert to fraction form
    4,002.92/6,002.46 = 1,369.64/x
  3. Step 3: Cross multiply
    4,002.92x = 6,002.46 × 1,369.64
  4. Step 4: Simplify right side
    4,002.92x = 8,221,209.31
  5. Step 5: Solve for x
    x = 8,221,209.31/4,002.92
  6. Step 6: Final answer
    x = 2,053.80

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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.