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Finding the Fourth Proportional to 5,866.31, 8,095.29 and 3,213.74

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Solution

The fourth proportional to 5,866.31, 8,095.29 and 3,213.74 is: 4,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.31 : 8,095.29 = 3,213.74 : x
  2. Step 2: Convert to fraction form
    5,866.31/8,095.29 = 3,213.74/x
  3. Step 3: Cross multiply
    5,866.31x = 8,095.29 × 3,213.74
  4. Step 4: Simplify right side
    5,866.31x = 26,016,157.28
  5. Step 5: Solve for x
    x = 26,016,157.28/5,866.31
  6. Step 6: Final answer
    x = 4,434.84

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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.