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Finding the Fourth Proportional to 3,662.40, 5,054.10 and 2,006.40

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Solution

The fourth proportional to 3,662.40, 5,054.10 and 2,006.40 is: 2,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.40 : 5,054.10 = 2,006.40 : x
  2. Step 2: Convert to fraction form
    3,662.40/5,054.10 = 2,006.40/x
  3. Step 3: Cross multiply
    3,662.40x = 5,054.10 × 2,006.40
  4. Step 4: Simplify right side
    3,662.40x = 10,140,546.24
  5. Step 5: Solve for x
    x = 10,140,546.24/3,662.40
  6. Step 6: Final answer
    x = 2,768.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.