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Finding the Fourth Proportional to 4,882.86, 7,334.20 and 4,310.83

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Solution

The fourth proportional to 4,882.86, 7,334.20 and 4,310.83 is: 6,474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.86 : 7,334.20 = 4,310.83 : x
  2. Step 2: Convert to fraction form
    4,882.86/7,334.20 = 4,310.83/x
  3. Step 3: Cross multiply
    4,882.86x = 7,334.20 × 4,310.83
  4. Step 4: Simplify right side
    4,882.86x = 31,616,452.72
  5. Step 5: Solve for x
    x = 31,616,452.72/4,882.86
  6. Step 6: Final answer
    x = 6,474.99

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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.