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Finding the Fourth Proportional to 4,910, 6,774.36 and 2,919.56

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Solution

The fourth proportional to 4,910, 6,774.36 and 2,919.56 is: 4,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,910 : 6,774.36 = 2,919.56 : x
  2. Step 2: Convert to fraction form
    4,910/6,774.36 = 2,919.56/x
  3. Step 3: Cross multiply
    4,910x = 6,774.36 × 2,919.56
  4. Step 4: Simplify right side
    4,910x = 19,778,150.48
  5. Step 5: Solve for x
    x = 19,778,150.48/4,910
  6. Step 6: Final answer
    x = 4,028.14

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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.