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Finding the Fourth Proportional to 4,219.92, 6,334.34 and 3,448.80

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Solution

The fourth proportional to 4,219.92, 6,334.34 and 3,448.80 is: 5,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.92 : 6,334.34 = 3,448.80 : x
  2. Step 2: Convert to fraction form
    4,219.92/6,334.34 = 3,448.80/x
  3. Step 3: Cross multiply
    4,219.92x = 6,334.34 × 3,448.80
  4. Step 4: Simplify right side
    4,219.92x = 21,845,854.55
  5. Step 5: Solve for x
    x = 21,845,854.55/4,219.92
  6. Step 6: Final answer
    x = 5,176.84

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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.