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Finding the Fourth Proportional to 3,837.67, 5,726.57 and 3,423.96

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Solution

The fourth proportional to 3,837.67, 5,726.57 and 3,423.96 is: 5,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.67 : 5,726.57 = 3,423.96 : x
  2. Step 2: Convert to fraction form
    3,837.67/5,726.57 = 3,423.96/x
  3. Step 3: Cross multiply
    3,837.67x = 5,726.57 × 3,423.96
  4. Step 4: Simplify right side
    3,837.67x = 19,607,546.62
  5. Step 5: Solve for x
    x = 19,607,546.62/3,837.67
  6. Step 6: Final answer
    x = 5,109.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.