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Finding the Fourth Proportional to 5,867.85, 8,097.51 and 3,215.19

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Solution

The fourth proportional to 5,867.85, 8,097.51 and 3,215.19 is: 4,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.85 : 8,097.51 = 3,215.19 : x
  2. Step 2: Convert to fraction form
    5,867.85/8,097.51 = 3,215.19/x
  3. Step 3: Cross multiply
    5,867.85x = 8,097.51 × 3,215.19
  4. Step 4: Simplify right side
    5,867.85x = 26,035,033.18
  5. Step 5: Solve for x
    x = 26,035,033.18/5,867.85
  6. Step 6: Final answer
    x = 4,436.89

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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.