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Finding the Fourth Proportional to 5,851.35, 8,778.24 and 1,902.83

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Solution

The fourth proportional to 5,851.35, 8,778.24 and 1,902.83 is: 2,854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,851.35 : 8,778.24 = 1,902.83 : x
  2. Step 2: Convert to fraction form
    5,851.35/8,778.24 = 1,902.83/x
  3. Step 3: Cross multiply
    5,851.35x = 8,778.24 × 1,902.83
  4. Step 4: Simplify right side
    5,851.35x = 16,703,454.53
  5. Step 5: Solve for x
    x = 16,703,454.53/5,851.35
  6. Step 6: Final answer
    x = 2,854.63

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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.