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Finding the Fourth Proportional to 5,863.14, 8,775.60 and 3,190.70

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Solution

The fourth proportional to 5,863.14, 8,775.60 and 3,190.70 is: 4,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.14 : 8,775.60 = 3,190.70 : x
  2. Step 2: Convert to fraction form
    5,863.14/8,775.60 = 3,190.70/x
  3. Step 3: Cross multiply
    5,863.14x = 8,775.60 × 3,190.70
  4. Step 4: Simplify right side
    5,863.14x = 28,000,306.92
  5. Step 5: Solve for x
    x = 28,000,306.92/5,863.14
  6. Step 6: Final answer
    x = 4,775.65

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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.