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Finding the Fourth Proportional to 5,867.94, 8,097.71 and 3,215.34

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Solution

The fourth proportional to 5,867.94, 8,097.71 and 3,215.34 is: 4,437.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.94 : 8,097.71 = 3,215.34 : x
  2. Step 2: Convert to fraction form
    5,867.94/8,097.71 = 3,215.34/x
  3. Step 3: Cross multiply
    5,867.94x = 8,097.71 × 3,215.34
  4. Step 4: Simplify right side
    5,867.94x = 26,036,919.15
  5. Step 5: Solve for x
    x = 26,036,919.15/5,867.94
  6. Step 6: Final answer
    x = 4,437.15

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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.