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Finding the Fourth Proportional to 5,867.76, 8,097 and 3,215.04

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Solution

The fourth proportional to 5,867.76, 8,097 and 3,215.04 is: 4,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.76 : 8,097 = 3,215.04 : x
  2. Step 2: Convert to fraction form
    5,867.76/8,097 = 3,215.04/x
  3. Step 3: Cross multiply
    5,867.76x = 8,097 × 3,215.04
  4. Step 4: Simplify right side
    5,867.76x = 26,032,178.88
  5. Step 5: Solve for x
    x = 26,032,178.88/5,867.76
  6. Step 6: Final answer
    x = 4,436.48

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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.