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Finding the Fourth Proportional to 5,867.00, 8,096.56 and 3,214.55

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Solution

The fourth proportional to 5,867.00, 8,096.56 and 3,214.55 is: 4,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.00 : 8,096.56 = 3,214.55 : x
  2. Step 2: Convert to fraction form
    5,867.00/8,096.56 = 3,214.55/x
  3. Step 3: Cross multiply
    5,867.00x = 8,096.56 × 3,214.55
  4. Step 4: Simplify right side
    5,867.00x = 26,026,809.15
  5. Step 5: Solve for x
    x = 26,026,809.15/5,867.00
  6. Step 6: Final answer
    x = 4,436.14

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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.