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Finding the Fourth Proportional to 5,692.84, 8,542.86 and 2,230

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Solution

The fourth proportional to 5,692.84, 8,542.86 and 2,230 is: 3,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.84 : 8,542.86 = 2,230 : x
  2. Step 2: Convert to fraction form
    5,692.84/8,542.86 = 2,230/x
  3. Step 3: Cross multiply
    5,692.84x = 8,542.86 × 2,230
  4. Step 4: Simplify right side
    5,692.84x = 19,050,577.80
  5. Step 5: Solve for x
    x = 19,050,577.80/5,692.84
  6. Step 6: Final answer
    x = 3,346.41

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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.