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Finding the Fourth Proportional to 4,508.84, 6,766.50 and 2,778.68

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Solution

The fourth proportional to 4,508.84, 6,766.50 and 2,778.68 is: 4,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,508.84 : 6,766.50 = 2,778.68 : x
  2. Step 2: Convert to fraction form
    4,508.84/6,766.50 = 2,778.68/x
  3. Step 3: Cross multiply
    4,508.84x = 6,766.50 × 2,778.68
  4. Step 4: Simplify right side
    4,508.84x = 18,801,938.22
  5. Step 5: Solve for x
    x = 18,801,938.22/4,508.84
  6. Step 6: Final answer
    x = 4,170.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.