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Finding the Fourth Proportional to 3,728.67, 5,593.11 and 1,537.57

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Solution

The fourth proportional to 3,728.67, 5,593.11 and 1,537.57 is: 2,306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.67 : 5,593.11 = 1,537.57 : x
  2. Step 2: Convert to fraction form
    3,728.67/5,593.11 = 1,537.57/x
  3. Step 3: Cross multiply
    3,728.67x = 5,593.11 × 1,537.57
  4. Step 4: Simplify right side
    3,728.67x = 8,599,798.14
  5. Step 5: Solve for x
    x = 8,599,798.14/3,728.67
  6. Step 6: Final answer
    x = 2,306.40

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1.5x scale

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.