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Finding the Fourth Proportional to 3,537.54, 5,306.67 and 940.50

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Solution

The fourth proportional to 3,537.54, 5,306.67 and 940.50 is: 1,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.54 : 5,306.67 = 940.50 : x
  2. Step 2: Convert to fraction form
    3,537.54/5,306.67 = 940.50/x
  3. Step 3: Cross multiply
    3,537.54x = 5,306.67 × 940.50
  4. Step 4: Simplify right side
    3,537.54x = 4,990,923.14
  5. Step 5: Solve for x
    x = 4,990,923.14/3,537.54
  6. Step 6: Final answer
    x = 1,410.85

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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.