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Finding the Fourth Proportional to 5,692.16, 7,854.48 and 3,174.41

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Solution

The fourth proportional to 5,692.16, 7,854.48 and 3,174.41 is: 4,380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.16 : 7,854.48 = 3,174.41 : x
  2. Step 2: Convert to fraction form
    5,692.16/7,854.48 = 3,174.41/x
  3. Step 3: Cross multiply
    5,692.16x = 7,854.48 × 3,174.41
  4. Step 4: Simplify right side
    5,692.16x = 24,933,300.58
  5. Step 5: Solve for x
    x = 24,933,300.58/5,692.16
  6. Step 6: Final answer
    x = 4,380.29

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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.