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Finding the Fourth Proportional to 3,774.67, 5,213.78 and 2,901.09

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Solution

The fourth proportional to 3,774.67, 5,213.78 and 2,901.09 is: 4,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.67 : 5,213.78 = 2,901.09 : x
  2. Step 2: Convert to fraction form
    3,774.67/5,213.78 = 2,901.09/x
  3. Step 3: Cross multiply
    3,774.67x = 5,213.78 × 2,901.09
  4. Step 4: Simplify right side
    3,774.67x = 15,125,645.02
  5. Step 5: Solve for x
    x = 15,125,645.02/3,774.67
  6. Step 6: Final answer
    x = 4,007.14

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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.