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Finding the Fourth Proportional to 3,846.71, 5,308.77 and 2,232.17

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Solution

The fourth proportional to 3,846.71, 5,308.77 and 2,232.17 is: 3,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.71 : 5,308.77 = 2,232.17 : x
  2. Step 2: Convert to fraction form
    3,846.71/5,308.77 = 2,232.17/x
  3. Step 3: Cross multiply
    3,846.71x = 5,308.77 × 2,232.17
  4. Step 4: Simplify right side
    3,846.71x = 11,850,050.59
  5. Step 5: Solve for x
    x = 11,850,050.59/3,846.71
  6. Step 6: Final answer
    x = 3,080.57

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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.