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Finding the Fourth Proportional to 3,692.88, 5,526.32 and 2,306.87

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Solution

The fourth proportional to 3,692.88, 5,526.32 and 2,306.87 is: 3,452.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.88 : 5,526.32 = 2,306.87 : x
  2. Step 2: Convert to fraction form
    3,692.88/5,526.32 = 2,306.87/x
  3. Step 3: Cross multiply
    3,692.88x = 5,526.32 × 2,306.87
  4. Step 4: Simplify right side
    3,692.88x = 12,748,496.05
  5. Step 5: Solve for x
    x = 12,748,496.05/3,692.88
  6. Step 6: Final answer
    x = 3,452.18

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Why These Related Problems?

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