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Finding the Fourth Proportional to 5,866.25, 8,095.46 and 3,213.68

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Solution

The fourth proportional to 5,866.25, 8,095.46 and 3,213.68 is: 4,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.25 : 8,095.46 = 3,213.68 : x
  2. Step 2: Convert to fraction form
    5,866.25/8,095.46 = 3,213.68/x
  3. Step 3: Cross multiply
    5,866.25x = 8,095.46 × 3,213.68
  4. Step 4: Simplify right side
    5,866.25x = 26,016,217.89
  5. Step 5: Solve for x
    x = 26,016,217.89/5,866.25
  6. Step 6: Final answer
    x = 4,434.90

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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.