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Finding the Fourth Proportional to 5,618.48, 8,434.20 and 3,441.20

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Solution

The fourth proportional to 5,618.48, 8,434.20 and 3,441.20 is: 5,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.48 : 8,434.20 = 3,441.20 : x
  2. Step 2: Convert to fraction form
    5,618.48/8,434.20 = 3,441.20/x
  3. Step 3: Cross multiply
    5,618.48x = 8,434.20 × 3,441.20
  4. Step 4: Simplify right side
    5,618.48x = 29,023,769.04
  5. Step 5: Solve for x
    x = 29,023,769.04/5,618.48
  6. Step 6: Final answer
    x = 5,165.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.