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Finding the Fourth Proportional to 3,813.39, 5,720.09 and 2,505.42

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Solution

The fourth proportional to 3,813.39, 5,720.09 and 2,505.42 is: 3,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.39 : 5,720.09 = 2,505.42 : x
  2. Step 2: Convert to fraction form
    3,813.39/5,720.09 = 2,505.42/x
  3. Step 3: Cross multiply
    3,813.39x = 5,720.09 × 2,505.42
  4. Step 4: Simplify right side
    3,813.39x = 14,331,215.36
  5. Step 5: Solve for x
    x = 14,331,215.36/3,813.39
  6. Step 6: Final answer
    x = 3,758.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.