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Finding the Fourth Proportional to 3,500.48, 5,249.49 and 1,034.64

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Solution

The fourth proportional to 3,500.48, 5,249.49 and 1,034.64 is: 1,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.48 : 5,249.49 = 1,034.64 : x
  2. Step 2: Convert to fraction form
    3,500.48/5,249.49 = 1,034.64/x
  3. Step 3: Cross multiply
    3,500.48x = 5,249.49 × 1,034.64
  4. Step 4: Simplify right side
    3,500.48x = 5,431,332.33
  5. Step 5: Solve for x
    x = 5,431,332.33/3,500.48
  6. Step 6: Final answer
    x = 1,551.60

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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.