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Finding the Fourth Proportional to 5,867.51, 8,097.20 and 3,215.08

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Solution

The fourth proportional to 5,867.51, 8,097.20 and 3,215.08 is: 4,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.51 : 8,097.20 = 3,215.08 : x
  2. Step 2: Convert to fraction form
    5,867.51/8,097.20 = 3,215.08/x
  3. Step 3: Cross multiply
    5,867.51x = 8,097.20 × 3,215.08
  4. Step 4: Simplify right side
    5,867.51x = 26,033,089.21
  5. Step 5: Solve for x
    x = 26,033,089.21/5,867.51
  6. Step 6: Final answer
    x = 4,436.82

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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.