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Finding the Fourth Proportional to 3,462.75, 4,778.60 and 2,220.75

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Solution

The fourth proportional to 3,462.75, 4,778.60 and 2,220.75 is: 3,064.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.75 : 4,778.60 = 2,220.75 : x
  2. Step 2: Convert to fraction form
    3,462.75/4,778.60 = 2,220.75/x
  3. Step 3: Cross multiply
    3,462.75x = 4,778.60 × 2,220.75
  4. Step 4: Simplify right side
    3,462.75x = 10,612,064.85
  5. Step 5: Solve for x
    x = 10,612,064.85/3,462.75
  6. Step 6: Final answer
    x = 3,064.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.