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Finding the Fourth Proportional to 5,188.39, 7,780.41 and 2,847.74

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Solution

The fourth proportional to 5,188.39, 7,780.41 and 2,847.74 is: 4,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.39 : 7,780.41 = 2,847.74 : x
  2. Step 2: Convert to fraction form
    5,188.39/7,780.41 = 2,847.74/x
  3. Step 3: Cross multiply
    5,188.39x = 7,780.41 × 2,847.74
  4. Step 4: Simplify right side
    5,188.39x = 22,156,545.87
  5. Step 5: Solve for x
    x = 22,156,545.87/5,188.39
  6. Step 6: Final answer
    x = 4,270.41

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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.