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Finding the Fourth Proportional to 3,882.36, 5,823.80 and 2,332.92

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Solution

The fourth proportional to 3,882.36, 5,823.80 and 2,332.92 is: 3,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.36 : 5,823.80 = 2,332.92 : x
  2. Step 2: Convert to fraction form
    3,882.36/5,823.80 = 2,332.92/x
  3. Step 3: Cross multiply
    3,882.36x = 5,823.80 × 2,332.92
  4. Step 4: Simplify right side
    3,882.36x = 13,586,459.50
  5. Step 5: Solve for x
    x = 13,586,459.50/3,882.36
  6. Step 6: Final answer
    x = 3,499.54

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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.