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Finding the Fourth Proportional to 4,805.80, 7,209.84 and 2,032.72

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Solution

The fourth proportional to 4,805.80, 7,209.84 and 2,032.72 is: 3,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.80 : 7,209.84 = 2,032.72 : x
  2. Step 2: Convert to fraction form
    4,805.80/7,209.84 = 2,032.72/x
  3. Step 3: Cross multiply
    4,805.80x = 7,209.84 × 2,032.72
  4. Step 4: Simplify right side
    4,805.80x = 14,655,585.96
  5. Step 5: Solve for x
    x = 14,655,585.96/4,805.80
  6. Step 6: Final answer
    x = 3,049.56

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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.