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Finding the Fourth Proportional to 3,507.54, 5,249.88 and 2,582.73

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Solution

The fourth proportional to 3,507.54, 5,249.88 and 2,582.73 is: 3,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.54 : 5,249.88 = 2,582.73 : x
  2. Step 2: Convert to fraction form
    3,507.54/5,249.88 = 2,582.73/x
  3. Step 3: Cross multiply
    3,507.54x = 5,249.88 × 2,582.73
  4. Step 4: Simplify right side
    3,507.54x = 13,559,022.57
  5. Step 5: Solve for x
    x = 13,559,022.57/3,507.54
  6. Step 6: Final answer
    x = 3,865.68

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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.