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Finding the Fourth Proportional to 5,692.64, 8,535.92 and 2,612

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Solution

The fourth proportional to 5,692.64, 8,535.92 and 2,612 is: 3,916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.64 : 8,535.92 = 2,612 : x
  2. Step 2: Convert to fraction form
    5,692.64/8,535.92 = 2,612/x
  3. Step 3: Cross multiply
    5,692.64x = 8,535.92 × 2,612
  4. Step 4: Simplify right side
    5,692.64x = 22,295,823.04
  5. Step 5: Solve for x
    x = 22,295,823.04/5,692.64
  6. Step 6: Final answer
    x = 3,916.61

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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.