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Finding the Fourth Proportional to 3,807.15, 5,254.71 and 2,314.75

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Solution

The fourth proportional to 3,807.15, 5,254.71 and 2,314.75 is: 3,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.15 : 5,254.71 = 2,314.75 : x
  2. Step 2: Convert to fraction form
    3,807.15/5,254.71 = 2,314.75/x
  3. Step 3: Cross multiply
    3,807.15x = 5,254.71 × 2,314.75
  4. Step 4: Simplify right side
    3,807.15x = 12,163,339.97
  5. Step 5: Solve for x
    x = 12,163,339.97/3,807.15
  6. Step 6: Final answer
    x = 3,194.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.