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Finding the Fourth Proportional to 3,863.09, 5,789.10 and 2,401.40

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Solution

The fourth proportional to 3,863.09, 5,789.10 and 2,401.40 is: 3,598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.09 : 5,789.10 = 2,401.40 : x
  2. Step 2: Convert to fraction form
    3,863.09/5,789.10 = 2,401.40/x
  3. Step 3: Cross multiply
    3,863.09x = 5,789.10 × 2,401.40
  4. Step 4: Simplify right side
    3,863.09x = 13,901,944.74
  5. Step 5: Solve for x
    x = 13,901,944.74/3,863.09
  6. Step 6: Final answer
    x = 3,598.66

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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.