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Finding the Fourth Proportional to 3,884.24, 5,823.28 and 2,035

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Solution

The fourth proportional to 3,884.24, 5,823.28 and 2,035 is: 3,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.24 : 5,823.28 = 2,035 : x
  2. Step 2: Convert to fraction form
    3,884.24/5,823.28 = 2,035/x
  3. Step 3: Cross multiply
    3,884.24x = 5,823.28 × 2,035
  4. Step 4: Simplify right side
    3,884.24x = 11,850,374.80
  5. Step 5: Solve for x
    x = 11,850,374.80/3,884.24
  6. Step 6: Final answer
    x = 3,050.89

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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.