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Finding the Fourth Proportional to 5,867.97, 8,097.98 and 3,215.54

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Solution

The fourth proportional to 5,867.97, 8,097.98 and 3,215.54 is: 4,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.97 : 8,097.98 = 3,215.54 : x
  2. Step 2: Convert to fraction form
    5,867.97/8,097.98 = 3,215.54/x
  3. Step 3: Cross multiply
    5,867.97x = 8,097.98 × 3,215.54
  4. Step 4: Simplify right side
    5,867.97x = 26,039,378.61
  5. Step 5: Solve for x
    x = 26,039,378.61/5,867.97
  6. Step 6: Final answer
    x = 4,437.54

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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.