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Finding the Fourth Proportional to 6,100.95, 8,419.43 and 3,448.34

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Solution

The fourth proportional to 6,100.95, 8,419.43 and 3,448.34 is: 4,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.95 : 8,419.43 = 3,448.34 : x
  2. Step 2: Convert to fraction form
    6,100.95/8,419.43 = 3,448.34/x
  3. Step 3: Cross multiply
    6,100.95x = 8,419.43 × 3,448.34
  4. Step 4: Simplify right side
    6,100.95x = 29,033,057.25
  5. Step 5: Solve for x
    x = 29,033,057.25/6,100.95
  6. Step 6: Final answer
    x = 4,758.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.