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Finding the Fourth Proportional to 5,859.28, 8,085.78 and 3,206.66

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Solution

The fourth proportional to 5,859.28, 8,085.78 and 3,206.66 is: 4,425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.28 : 8,085.78 = 3,206.66 : x
  2. Step 2: Convert to fraction form
    5,859.28/8,085.78 = 3,206.66/x
  3. Step 3: Cross multiply
    5,859.28x = 8,085.78 × 3,206.66
  4. Step 4: Simplify right side
    5,859.28x = 25,928,347.29
  5. Step 5: Solve for x
    x = 25,928,347.29/5,859.28
  6. Step 6: Final answer
    x = 4,425.18

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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.