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Finding the Fourth Proportional to 3,800.96, 5,692.17 and 2,152.50

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Solution

The fourth proportional to 3,800.96, 5,692.17 and 2,152.50 is: 3,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.96 : 5,692.17 = 2,152.50 : x
  2. Step 2: Convert to fraction form
    3,800.96/5,692.17 = 2,152.50/x
  3. Step 3: Cross multiply
    3,800.96x = 5,692.17 × 2,152.50
  4. Step 4: Simplify right side
    3,800.96x = 12,252,395.93
  5. Step 5: Solve for x
    x = 12,252,395.93/3,800.96
  6. Step 6: Final answer
    x = 3,223.50

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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.