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Finding the Fourth Proportional to 5,692.44, 7,856.62 and 3,423.16

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Solution

The fourth proportional to 5,692.44, 7,856.62 and 3,423.16 is: 4,724.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.44 : 7,856.62 = 3,423.16 : x
  2. Step 2: Convert to fraction form
    5,692.44/7,856.62 = 3,423.16/x
  3. Step 3: Cross multiply
    5,692.44x = 7,856.62 × 3,423.16
  4. Step 4: Simplify right side
    5,692.44x = 26,894,467.32
  5. Step 5: Solve for x
    x = 26,894,467.32/5,692.44
  6. Step 6: Final answer
    x = 4,724.59

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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.