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Finding the Fourth Proportional to 3,919.34, 5,408.72 and 2,151.01

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Solution

The fourth proportional to 3,919.34, 5,408.72 and 2,151.01 is: 2,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.34 : 5,408.72 = 2,151.01 : x
  2. Step 2: Convert to fraction form
    3,919.34/5,408.72 = 2,151.01/x
  3. Step 3: Cross multiply
    3,919.34x = 5,408.72 × 2,151.01
  4. Step 4: Simplify right side
    3,919.34x = 11,634,202.66
  5. Step 5: Solve for x
    x = 11,634,202.66/3,919.34
  6. Step 6: Final answer
    x = 2,968.41

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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.