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Finding the Fourth Proportional to 3,823.00, 5,286.13 and 3,330.92

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Solution

The fourth proportional to 3,823.00, 5,286.13 and 3,330.92 is: 4,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.00 : 5,286.13 = 3,330.92 : x
  2. Step 2: Convert to fraction form
    3,823.00/5,286.13 = 3,330.92/x
  3. Step 3: Cross multiply
    3,823.00x = 5,286.13 × 3,330.92
  4. Step 4: Simplify right side
    3,823.00x = 17,607,681.03
  5. Step 5: Solve for x
    x = 17,607,681.03/3,823.00
  6. Step 6: Final answer
    x = 4,605.73

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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.