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Finding the Fourth Proportional to 5,692.16, 7,854.88 and 3,208

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Solution

The fourth proportional to 5,692.16, 7,854.88 and 3,208 is: 4,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.16 : 7,854.88 = 3,208 : x
  2. Step 2: Convert to fraction form
    5,692.16/7,854.88 = 3,208/x
  3. Step 3: Cross multiply
    5,692.16x = 7,854.88 × 3,208
  4. Step 4: Simplify right side
    5,692.16x = 25,198,455.04
  5. Step 5: Solve for x
    x = 25,198,455.04/5,692.16
  6. Step 6: Final answer
    x = 4,426.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.