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Finding the Fourth Proportional to 3,858, 5,321.68 and 2,285.04

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Solution

The fourth proportional to 3,858, 5,321.68 and 2,285.04 is: 3,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858 : 5,321.68 = 2,285.04 : x
  2. Step 2: Convert to fraction form
    3,858/5,321.68 = 2,285.04/x
  3. Step 3: Cross multiply
    3,858x = 5,321.68 × 2,285.04
  4. Step 4: Simplify right side
    3,858x = 12,160,251.67
  5. Step 5: Solve for x
    x = 12,160,251.67/3,858
  6. Step 6: Final answer
    x = 3,151.96

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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.