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Finding the Fourth Proportional to 5,867.18, 8,096.61 and 3,214.54

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Solution

The fourth proportional to 5,867.18, 8,096.61 and 3,214.54 is: 4,436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.18 : 8,096.61 = 3,214.54 : x
  2. Step 2: Convert to fraction form
    5,867.18/8,096.61 = 3,214.54/x
  3. Step 3: Cross multiply
    5,867.18x = 8,096.61 × 3,214.54
  4. Step 4: Simplify right side
    5,867.18x = 26,026,835.26
  5. Step 5: Solve for x
    x = 26,026,835.26/5,867.18
  6. Step 6: Final answer
    x = 4,436.00

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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.