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Finding the Fourth Proportional to 4,105.88, 5,666.12 and 2,242.88

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Solution

The fourth proportional to 4,105.88, 5,666.12 and 2,242.88 is: 3,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.88 : 5,666.12 = 2,242.88 : x
  2. Step 2: Convert to fraction form
    4,105.88/5,666.12 = 2,242.88/x
  3. Step 3: Cross multiply
    4,105.88x = 5,666.12 × 2,242.88
  4. Step 4: Simplify right side
    4,105.88x = 12,708,387.68
  5. Step 5: Solve for x
    x = 12,708,387.68/4,105.88
  6. Step 6: Final answer
    x = 3,095.17

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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.