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Finding the Fourth Proportional to 5,724.32, 7,900.26 and 3,206.84

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Solution

The fourth proportional to 5,724.32, 7,900.26 and 3,206.84 is: 4,425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.32 : 7,900.26 = 3,206.84 : x
  2. Step 2: Convert to fraction form
    5,724.32/7,900.26 = 3,206.84/x
  3. Step 3: Cross multiply
    5,724.32x = 7,900.26 × 3,206.84
  4. Step 4: Simplify right side
    5,724.32x = 25,334,869.78
  5. Step 5: Solve for x
    x = 25,334,869.78/5,724.32
  6. Step 6: Final answer
    x = 4,425.83

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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.