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Finding the Fourth Proportional to 3,490.94, 5,233.16 and 1,757.54

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Solution

The fourth proportional to 3,490.94, 5,233.16 and 1,757.54 is: 2,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.94 : 5,233.16 = 1,757.54 : x
  2. Step 2: Convert to fraction form
    3,490.94/5,233.16 = 1,757.54/x
  3. Step 3: Cross multiply
    3,490.94x = 5,233.16 × 1,757.54
  4. Step 4: Simplify right side
    3,490.94x = 9,197,488.03
  5. Step 5: Solve for x
    x = 9,197,488.03/3,490.94
  6. Step 6: Final answer
    x = 2,634.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.