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Finding the Fourth Proportional to 3,543.75, 5,308.02 and 1,692.09

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Solution

The fourth proportional to 3,543.75, 5,308.02 and 1,692.09 is: 2,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.75 : 5,308.02 = 1,692.09 : x
  2. Step 2: Convert to fraction form
    3,543.75/5,308.02 = 1,692.09/x
  3. Step 3: Cross multiply
    3,543.75x = 5,308.02 × 1,692.09
  4. Step 4: Simplify right side
    3,543.75x = 8,981,647.56
  5. Step 5: Solve for x
    x = 8,981,647.56/3,543.75
  6. Step 6: Final answer
    x = 2,534.50

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1.5x scale

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.