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Finding the Fourth Proportional to 4,242.88, 6,355.82 and 2,162.80

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Solution

The fourth proportional to 4,242.88, 6,355.82 and 2,162.80 is: 3,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.88 : 6,355.82 = 2,162.80 : x
  2. Step 2: Convert to fraction form
    4,242.88/6,355.82 = 2,162.80/x
  3. Step 3: Cross multiply
    4,242.88x = 6,355.82 × 2,162.80
  4. Step 4: Simplify right side
    4,242.88x = 13,746,367.50
  5. Step 5: Solve for x
    x = 13,746,367.50/4,242.88
  6. Step 6: Final answer
    x = 3,239.87

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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.