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Finding the Fourth Proportional to 5,880.24, 8,825.76 and 3,692.88

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Solution

The fourth proportional to 5,880.24, 8,825.76 and 3,692.88 is: 5,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.24 : 8,825.76 = 3,692.88 : x
  2. Step 2: Convert to fraction form
    5,880.24/8,825.76 = 3,692.88/x
  3. Step 3: Cross multiply
    5,880.24x = 8,825.76 × 3,692.88
  4. Step 4: Simplify right side
    5,880.24x = 32,592,472.59
  5. Step 5: Solve for x
    x = 32,592,472.59/5,880.24
  6. Step 6: Final answer
    x = 5,542.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.