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Finding the Fourth Proportional to 3,537.57, 5,306.21 and 940.51

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Solution

The fourth proportional to 3,537.57, 5,306.21 and 940.51 is: 1,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.57 : 5,306.21 = 940.51 : x
  2. Step 2: Convert to fraction form
    3,537.57/5,306.21 = 940.51/x
  3. Step 3: Cross multiply
    3,537.57x = 5,306.21 × 940.51
  4. Step 4: Simplify right side
    3,537.57x = 4,990,549.02
  5. Step 5: Solve for x
    x = 4,990,549.02/3,537.57
  6. Step 6: Final answer
    x = 1,410.73

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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.