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Finding the Fourth Proportional to 3,813.34, 5,261.72 and 2,134.42

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Solution

The fourth proportional to 3,813.34, 5,261.72 and 2,134.42 is: 2,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.34 : 5,261.72 = 2,134.42 : x
  2. Step 2: Convert to fraction form
    3,813.34/5,261.72 = 2,134.42/x
  3. Step 3: Cross multiply
    3,813.34x = 5,261.72 × 2,134.42
  4. Step 4: Simplify right side
    3,813.34x = 11,230,720.40
  5. Step 5: Solve for x
    x = 11,230,720.40/3,813.34
  6. Step 6: Final answer
    x = 2,945.11

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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.