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Finding the Fourth Proportional to 3,363.92, 4,638.49 and 2,301.86

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Solution

The fourth proportional to 3,363.92, 4,638.49 and 2,301.86 is: 3,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.92 : 4,638.49 = 2,301.86 : x
  2. Step 2: Convert to fraction form
    3,363.92/4,638.49 = 2,301.86/x
  3. Step 3: Cross multiply
    3,363.92x = 4,638.49 × 2,301.86
  4. Step 4: Simplify right side
    3,363.92x = 10,677,134.29
  5. Step 5: Solve for x
    x = 10,677,134.29/3,363.92
  6. Step 6: Final answer
    x = 3,174.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.