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Finding the Fourth Proportional to 3,846.54, 5,765.97 and 1,503.33

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Solution

The fourth proportional to 3,846.54, 5,765.97 and 1,503.33 is: 2,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.54 : 5,765.97 = 1,503.33 : x
  2. Step 2: Convert to fraction form
    3,846.54/5,765.97 = 1,503.33/x
  3. Step 3: Cross multiply
    3,846.54x = 5,765.97 × 1,503.33
  4. Step 4: Simplify right side
    3,846.54x = 8,668,155.68
  5. Step 5: Solve for x
    x = 8,668,155.68/3,846.54
  6. Step 6: Final answer
    x = 2,253.49

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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.