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Finding the Fourth Proportional to 3,722.88, 5,133.24 and 3,094.14

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Solution

The fourth proportional to 3,722.88, 5,133.24 and 3,094.14 is: 4,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.88 : 5,133.24 = 3,094.14 : x
  2. Step 2: Convert to fraction form
    3,722.88/5,133.24 = 3,094.14/x
  3. Step 3: Cross multiply
    3,722.88x = 5,133.24 × 3,094.14
  4. Step 4: Simplify right side
    3,722.88x = 15,882,963.21
  5. Step 5: Solve for x
    x = 15,882,963.21/3,722.88
  6. Step 6: Final answer
    x = 4,266.31

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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.