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Finding the Fourth Proportional to 4,100.44, 6,153.84 and 2,859.78

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Solution

The fourth proportional to 4,100.44, 6,153.84 and 2,859.78 is: 4,291.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.44 : 6,153.84 = 2,859.78 : x
  2. Step 2: Convert to fraction form
    4,100.44/6,153.84 = 2,859.78/x
  3. Step 3: Cross multiply
    4,100.44x = 6,153.84 × 2,859.78
  4. Step 4: Simplify right side
    4,100.44x = 17,598,628.56
  5. Step 5: Solve for x
    x = 17,598,628.56/4,100.44
  6. Step 6: Final answer
    x = 4,291.89

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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.