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Finding the Fourth Proportional to 3,438.33, 4,742.86 and 2,112.33

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Solution

The fourth proportional to 3,438.33, 4,742.86 and 2,112.33 is: 2,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.33 : 4,742.86 = 2,112.33 : x
  2. Step 2: Convert to fraction form
    3,438.33/4,742.86 = 2,112.33/x
  3. Step 3: Cross multiply
    3,438.33x = 4,742.86 × 2,112.33
  4. Step 4: Simplify right side
    3,438.33x = 10,018,485.46
  5. Step 5: Solve for x
    x = 10,018,485.46/3,438.33
  6. Step 6: Final answer
    x = 2,913.76

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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.