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Finding the Fourth Proportional to 5,859.13, 8,085.60 and 3,206.56

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Solution

The fourth proportional to 5,859.13, 8,085.60 and 3,206.56 is: 4,425.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.13 : 8,085.60 = 3,206.56 : x
  2. Step 2: Convert to fraction form
    5,859.13/8,085.60 = 3,206.56/x
  3. Step 3: Cross multiply
    5,859.13x = 8,085.60 × 3,206.56
  4. Step 4: Simplify right side
    5,859.13x = 25,926,961.54
  5. Step 5: Solve for x
    x = 25,926,961.54/5,859.13
  6. Step 6: Final answer
    x = 4,425.05

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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.