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Finding the Fourth Proportional to 4,193.92, 6,290.97 and 2,002.87

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Solution

The fourth proportional to 4,193.92, 6,290.97 and 2,002.87 is: 3,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.92 : 6,290.97 = 2,002.87 : x
  2. Step 2: Convert to fraction form
    4,193.92/6,290.97 = 2,002.87/x
  3. Step 3: Cross multiply
    4,193.92x = 6,290.97 × 2,002.87
  4. Step 4: Simplify right side
    4,193.92x = 12,599,995.08
  5. Step 5: Solve for x
    x = 12,599,995.08/4,193.92
  6. Step 6: Final answer
    x = 3,004.35

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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.