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Finding the Fourth Proportional to 3,692.50, 5,535.65 and 1,502.80

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Solution

The fourth proportional to 3,692.50, 5,535.65 and 1,502.80 is: 2,252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.50 : 5,535.65 = 1,502.80 : x
  2. Step 2: Convert to fraction form
    3,692.50/5,535.65 = 1,502.80/x
  3. Step 3: Cross multiply
    3,692.50x = 5,535.65 × 1,502.80
  4. Step 4: Simplify right side
    3,692.50x = 8,318,967.31
  5. Step 5: Solve for x
    x = 8,318,967.31/3,692.50
  6. Step 6: Final answer
    x = 2,252.94

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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.