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Finding the Fourth Proportional to 4,778.98, 7,155.50 and 2,465.62

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Solution

The fourth proportional to 4,778.98, 7,155.50 and 2,465.62 is: 3,691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.98 : 7,155.50 = 2,465.62 : x
  2. Step 2: Convert to fraction form
    4,778.98/7,155.50 = 2,465.62/x
  3. Step 3: Cross multiply
    4,778.98x = 7,155.50 × 2,465.62
  4. Step 4: Simplify right side
    4,778.98x = 17,642,695.80
  5. Step 5: Solve for x
    x = 17,642,695.80/4,778.98
  6. Step 6: Final answer
    x = 3,691.73

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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.