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Finding the Fourth Proportional to 4,002.64, 5,999.60 and 1,367.71

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Solution

The fourth proportional to 4,002.64, 5,999.60 and 1,367.71 is: 2,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.64 : 5,999.60 = 1,367.71 : x
  2. Step 2: Convert to fraction form
    4,002.64/5,999.60 = 1,367.71/x
  3. Step 3: Cross multiply
    4,002.64x = 5,999.60 × 1,367.71
  4. Step 4: Simplify right side
    4,002.64x = 8,205,701.34
  5. Step 5: Solve for x
    x = 8,205,701.34/4,002.64
  6. Step 6: Final answer
    x = 2,050.07

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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.