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Finding the Fourth Proportional to 4,057.62, 6,083.19 and 1,747.50

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Solution

The fourth proportional to 4,057.62, 6,083.19 and 1,747.50 is: 2,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.62 : 6,083.19 = 1,747.50 : x
  2. Step 2: Convert to fraction form
    4,057.62/6,083.19 = 1,747.50/x
  3. Step 3: Cross multiply
    4,057.62x = 6,083.19 × 1,747.50
  4. Step 4: Simplify right side
    4,057.62x = 10,630,374.53
  5. Step 5: Solve for x
    x = 10,630,374.53/4,057.62
  6. Step 6: Final answer
    x = 2,619.85

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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.