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Finding the Fourth Proportional to 5,724.62, 7,900.28 and 3,206.59

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Solution

The fourth proportional to 5,724.62, 7,900.28 and 3,206.59 is: 4,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.62 : 7,900.28 = 3,206.59 : x
  2. Step 2: Convert to fraction form
    5,724.62/7,900.28 = 3,206.59/x
  3. Step 3: Cross multiply
    5,724.62x = 7,900.28 × 3,206.59
  4. Step 4: Simplify right side
    5,724.62x = 25,332,903.31
  5. Step 5: Solve for x
    x = 25,332,903.31/5,724.62
  6. Step 6: Final answer
    x = 4,425.25

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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.