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Finding the Fourth Proportional to 5,378.84, 8,050.90 and 2,778.20

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Solution

The fourth proportional to 5,378.84, 8,050.90 and 2,778.20 is: 4,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.84 : 8,050.90 = 2,778.20 : x
  2. Step 2: Convert to fraction form
    5,378.84/8,050.90 = 2,778.20/x
  3. Step 3: Cross multiply
    5,378.84x = 8,050.90 × 2,778.20
  4. Step 4: Simplify right side
    5,378.84x = 22,367,010.38
  5. Step 5: Solve for x
    x = 22,367,010.38/5,378.84
  6. Step 6: Final answer
    x = 4,158.33

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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.