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Finding the Fourth Proportional to 3,863.09, 5,807.50 and 3,137.74

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Solution

The fourth proportional to 3,863.09, 5,807.50 and 3,137.74 is: 4,717.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.09 : 5,807.50 = 3,137.74 : x
  2. Step 2: Convert to fraction form
    3,863.09/5,807.50 = 3,137.74/x
  3. Step 3: Cross multiply
    3,863.09x = 5,807.50 × 3,137.74
  4. Step 4: Simplify right side
    3,863.09x = 18,222,402.69
  5. Step 5: Solve for x
    x = 18,222,402.69/3,863.09
  6. Step 6: Final answer
    x = 4,717.05

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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.