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Finding the Fourth Proportional to 3,402.60, 4,692.13 and 3,204.17

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Solution

The fourth proportional to 3,402.60, 4,692.13 and 3,204.17 is: 4,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.60 : 4,692.13 = 3,204.17 : x
  2. Step 2: Convert to fraction form
    3,402.60/4,692.13 = 3,204.17/x
  3. Step 3: Cross multiply
    3,402.60x = 4,692.13 × 3,204.17
  4. Step 4: Simplify right side
    3,402.60x = 15,034,374.31
  5. Step 5: Solve for x
    x = 15,034,374.31/3,402.60
  6. Step 6: Final answer
    x = 4,418.50

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1.5x scale

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.