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Finding the Fourth Proportional to 5,209.32, 7,815.96 and 3,363.96

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Solution

The fourth proportional to 5,209.32, 7,815.96 and 3,363.96 is: 5,047.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.32 : 7,815.96 = 3,363.96 : x
  2. Step 2: Convert to fraction form
    5,209.32/7,815.96 = 3,363.96/x
  3. Step 3: Cross multiply
    5,209.32x = 7,815.96 × 3,363.96
  4. Step 4: Simplify right side
    5,209.32x = 26,292,576.80
  5. Step 5: Solve for x
    x = 26,292,576.80/5,209.32
  6. Step 6: Final answer
    x = 5,047.22

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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.