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Finding the Fourth Proportional to 4,011.70, 5,535.20 and 3,134.20

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Solution

The fourth proportional to 4,011.70, 5,535.20 and 3,134.20 is: 4,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011.70 : 5,535.20 = 3,134.20 : x
  2. Step 2: Convert to fraction form
    4,011.70/5,535.20 = 3,134.20/x
  3. Step 3: Cross multiply
    4,011.70x = 5,535.20 × 3,134.20
  4. Step 4: Simplify right side
    4,011.70x = 17,348,423.84
  5. Step 5: Solve for x
    x = 17,348,423.84/4,011.70
  6. Step 6: Final answer
    x = 4,324.46

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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.