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Finding the Fourth Proportional to 5,664.82, 8,492.36 and 2,152.84

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Solution

The fourth proportional to 5,664.82, 8,492.36 and 2,152.84 is: 3,227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.82 : 8,492.36 = 2,152.84 : x
  2. Step 2: Convert to fraction form
    5,664.82/8,492.36 = 2,152.84/x
  3. Step 3: Cross multiply
    5,664.82x = 8,492.36 × 2,152.84
  4. Step 4: Simplify right side
    5,664.82x = 18,282,692.30
  5. Step 5: Solve for x
    x = 18,282,692.30/5,664.82
  6. Step 6: Final answer
    x = 3,227.41

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1.5x scale

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.