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Finding the Fourth Proportional to 5,232.20, 7,856.60 and 5,194.13

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Solution

The fourth proportional to 5,232.20, 7,856.60 and 5,194.13 is: 7,799.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.20 : 7,856.60 = 5,194.13 : x
  2. Step 2: Convert to fraction form
    5,232.20/7,856.60 = 5,194.13/x
  3. Step 3: Cross multiply
    5,232.20x = 7,856.60 × 5,194.13
  4. Step 4: Simplify right side
    5,232.20x = 40,808,136.50
  5. Step 5: Solve for x
    x = 40,808,136.50/5,232.20
  6. Step 6: Final answer
    x = 7,799.43

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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.