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Finding the Fourth Proportional to 5,170.40, 7,137 and 3,074.52

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Solution

The fourth proportional to 5,170.40, 7,137 and 3,074.52 is: 4,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.40 : 7,137 = 3,074.52 : x
  2. Step 2: Convert to fraction form
    5,170.40/7,137 = 3,074.52/x
  3. Step 3: Cross multiply
    5,170.40x = 7,137 × 3,074.52
  4. Step 4: Simplify right side
    5,170.40x = 21,942,849.24
  5. Step 5: Solve for x
    x = 21,942,849.24/5,170.40
  6. Step 6: Final answer
    x = 4,243.94

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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.