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Finding the Fourth Proportional to 5,859.68, 8,086.03 and 3,206.59

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Solution

The fourth proportional to 5,859.68, 8,086.03 and 3,206.59 is: 4,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.68 : 8,086.03 = 3,206.59 : x
  2. Step 2: Convert to fraction form
    5,859.68/8,086.03 = 3,206.59/x
  3. Step 3: Cross multiply
    5,859.68x = 8,086.03 × 3,206.59
  4. Step 4: Simplify right side
    5,859.68x = 25,928,554.71
  5. Step 5: Solve for x
    x = 25,928,554.71/5,859.68
  6. Step 6: Final answer
    x = 4,424.91

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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.