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Finding the Fourth Proportional to 3,327.57, 4,978.67 and 2,006.46

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Solution

The fourth proportional to 3,327.57, 4,978.67 and 2,006.46 is: 3,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.57 : 4,978.67 = 2,006.46 : x
  2. Step 2: Convert to fraction form
    3,327.57/4,978.67 = 2,006.46/x
  3. Step 3: Cross multiply
    3,327.57x = 4,978.67 × 2,006.46
  4. Step 4: Simplify right side
    3,327.57x = 9,989,492.18
  5. Step 5: Solve for x
    x = 9,989,492.18/3,327.57
  6. Step 6: Final answer
    x = 3,002.04

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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.