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Finding the Fourth Proportional to 3,815.80, 5,265.86 and 2,323.78

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Solution

The fourth proportional to 3,815.80, 5,265.86 and 2,323.78 is: 3,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.80 : 5,265.86 = 2,323.78 : x
  2. Step 2: Convert to fraction form
    3,815.80/5,265.86 = 2,323.78/x
  3. Step 3: Cross multiply
    3,815.80x = 5,265.86 × 2,323.78
  4. Step 4: Simplify right side
    3,815.80x = 12,236,700.15
  5. Step 5: Solve for x
    x = 12,236,700.15/3,815.80
  6. Step 6: Final answer
    x = 3,206.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.