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Finding the Fourth Proportional to 4,101.44, 6,156.48 and 3,824.96

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Solution

The fourth proportional to 4,101.44, 6,156.48 and 3,824.96 is: 5,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.44 : 6,156.48 = 3,824.96 : x
  2. Step 2: Convert to fraction form
    4,101.44/6,156.48 = 3,824.96/x
  3. Step 3: Cross multiply
    4,101.44x = 6,156.48 × 3,824.96
  4. Step 4: Simplify right side
    4,101.44x = 23,548,289.74
  5. Step 5: Solve for x
    x = 23,548,289.74/4,101.44
  6. Step 6: Final answer
    x = 5,741.47

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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.