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Finding the Fourth Proportional to 3,438.33, 4,744.76 and 1,946.33

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Solution

The fourth proportional to 3,438.33, 4,744.76 and 1,946.33 is: 2,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.33 : 4,744.76 = 1,946.33 : x
  2. Step 2: Convert to fraction form
    3,438.33/4,744.76 = 1,946.33/x
  3. Step 3: Cross multiply
    3,438.33x = 4,744.76 × 1,946.33
  4. Step 4: Simplify right side
    3,438.33x = 9,234,879.76
  5. Step 5: Solve for x
    x = 9,234,879.76/3,438.33
  6. Step 6: Final answer
    x = 2,685.86

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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.