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Finding the Fourth Proportional to 3,829.95, 5,747.40 and 2,076.17

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Solution

The fourth proportional to 3,829.95, 5,747.40 and 2,076.17 is: 3,115.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.95 : 5,747.40 = 2,076.17 : x
  2. Step 2: Convert to fraction form
    3,829.95/5,747.40 = 2,076.17/x
  3. Step 3: Cross multiply
    3,829.95x = 5,747.40 × 2,076.17
  4. Step 4: Simplify right side
    3,829.95x = 11,932,550.72
  5. Step 5: Solve for x
    x = 11,932,550.72/3,829.95
  6. Step 6: Final answer
    x = 3,115.59

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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.