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Finding the Fourth Proportional to 5,564.40, 7,679.28 and 3,206.88

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Solution

The fourth proportional to 5,564.40, 7,679.28 and 3,206.88 is: 4,425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.40 : 7,679.28 = 3,206.88 : x
  2. Step 2: Convert to fraction form
    5,564.40/7,679.28 = 3,206.88/x
  3. Step 3: Cross multiply
    5,564.40x = 7,679.28 × 3,206.88
  4. Step 4: Simplify right side
    5,564.40x = 24,626,529.45
  5. Step 5: Solve for x
    x = 24,626,529.45/5,564.40
  6. Step 6: Final answer
    x = 4,425.73

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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.