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Finding the Fourth Proportional to 3,834.66, 5,292.27 and 2,133.34

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Solution

The fourth proportional to 3,834.66, 5,292.27 and 2,133.34 is: 2,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.66 : 5,292.27 = 2,133.34 : x
  2. Step 2: Convert to fraction form
    3,834.66/5,292.27 = 2,133.34/x
  3. Step 3: Cross multiply
    3,834.66x = 5,292.27 × 2,133.34
  4. Step 4: Simplify right side
    3,834.66x = 11,290,211.28
  5. Step 5: Solve for x
    x = 11,290,211.28/3,834.66
  6. Step 6: Final answer
    x = 2,944.25

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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.