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Finding the Fourth Proportional to 3,534, 5,301.22 and 936.88

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Solution

The fourth proportional to 3,534, 5,301.22 and 936.88 is: 1,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534 : 5,301.22 = 936.88 : x
  2. Step 2: Convert to fraction form
    3,534/5,301.22 = 936.88/x
  3. Step 3: Cross multiply
    3,534x = 5,301.22 × 936.88
  4. Step 4: Simplify right side
    3,534x = 4,966,606.99
  5. Step 5: Solve for x
    x = 4,966,606.99/3,534
  6. Step 6: Final answer
    x = 1,405.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.