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Finding the Fourth Proportional to 5,854.46, 8,780.74 and 2,155.78

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Solution

The fourth proportional to 5,854.46, 8,780.74 and 2,155.78 is: 3,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.46 : 8,780.74 = 2,155.78 : x
  2. Step 2: Convert to fraction form
    5,854.46/8,780.74 = 2,155.78/x
  3. Step 3: Cross multiply
    5,854.46x = 8,780.74 × 2,155.78
  4. Step 4: Simplify right side
    5,854.46x = 18,929,343.68
  5. Step 5: Solve for x
    x = 18,929,343.68/5,854.46
  6. Step 6: Final answer
    x = 3,233.32

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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.