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Finding the Fourth Proportional to 5,150, 7,107.96 and 2,942

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Solution

The fourth proportional to 5,150, 7,107.96 and 2,942 is: 4,060.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150 : 7,107.96 = 2,942 : x
  2. Step 2: Convert to fraction form
    5,150/7,107.96 = 2,942/x
  3. Step 3: Cross multiply
    5,150x = 7,107.96 × 2,942
  4. Step 4: Simplify right side
    5,150x = 20,911,618.32
  5. Step 5: Solve for x
    x = 20,911,618.32/5,150
  6. Step 6: Final answer
    x = 4,060.51

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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.