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Finding the Fourth Proportional to 3,478.85, 5,209.92 and 2,013.56

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Solution

The fourth proportional to 3,478.85, 5,209.92 and 2,013.56 is: 3,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.85 : 5,209.92 = 2,013.56 : x
  2. Step 2: Convert to fraction form
    3,478.85/5,209.92 = 2,013.56/x
  3. Step 3: Cross multiply
    3,478.85x = 5,209.92 × 2,013.56
  4. Step 4: Simplify right side
    3,478.85x = 10,490,480.00
  5. Step 5: Solve for x
    x = 10,490,480.00/3,478.85
  6. Step 6: Final answer
    x = 3,015.50

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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.