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Finding the Fourth Proportional to 5,867.56, 8,097.02 and 3,215

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Solution

The fourth proportional to 5,867.56, 8,097.02 and 3,215 is: 4,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.56 : 8,097.02 = 3,215 : x
  2. Step 2: Convert to fraction form
    5,867.56/8,097.02 = 3,215/x
  3. Step 3: Cross multiply
    5,867.56x = 8,097.02 × 3,215
  4. Step 4: Simplify right side
    5,867.56x = 26,031,919.30
  5. Step 5: Solve for x
    x = 26,031,919.30/5,867.56
  6. Step 6: Final answer
    x = 4,436.58

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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.