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Finding the Fourth Proportional to 3,786.18, 5,223.42 and 2,294.22

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Solution

The fourth proportional to 3,786.18, 5,223.42 and 2,294.22 is: 3,165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.18 : 5,223.42 = 2,294.22 : x
  2. Step 2: Convert to fraction form
    3,786.18/5,223.42 = 2,294.22/x
  3. Step 3: Cross multiply
    3,786.18x = 5,223.42 × 2,294.22
  4. Step 4: Simplify right side
    3,786.18x = 11,983,674.63
  5. Step 5: Solve for x
    x = 11,983,674.63/3,786.18
  6. Step 6: Final answer
    x = 3,165.11

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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.