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Finding the Fourth Proportional to 3,815.74, 5,263 and 2,323.75

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Solution

The fourth proportional to 3,815.74, 5,263 and 2,323.75 is: 3,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.74 : 5,263 = 2,323.75 : x
  2. Step 2: Convert to fraction form
    3,815.74/5,263 = 2,323.75/x
  3. Step 3: Cross multiply
    3,815.74x = 5,263 × 2,323.75
  4. Step 4: Simplify right side
    3,815.74x = 12,229,896.25
  5. Step 5: Solve for x
    x = 12,229,896.25/3,815.74
  6. Step 6: Final answer
    x = 3,205.12

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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.