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Finding the Fourth Proportional to 3,490.82, 5,237.00 and 1,151.54

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Solution

The fourth proportional to 3,490.82, 5,237.00 and 1,151.54 is: 1,727.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.82 : 5,237.00 = 1,151.54 : x
  2. Step 2: Convert to fraction form
    3,490.82/5,237.00 = 1,151.54/x
  3. Step 3: Cross multiply
    3,490.82x = 5,237.00 × 1,151.54
  4. Step 4: Simplify right side
    3,490.82x = 6,030,622.31
  5. Step 5: Solve for x
    x = 6,030,622.31/3,490.82
  6. Step 6: Final answer
    x = 1,727.57

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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.