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Finding the Fourth Proportional to 5,022.70, 7,534.50 and 1,324.88

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Solution

The fourth proportional to 5,022.70, 7,534.50 and 1,324.88 is: 1,987.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022.70 : 7,534.50 = 1,324.88 : x
  2. Step 2: Convert to fraction form
    5,022.70/7,534.50 = 1,324.88/x
  3. Step 3: Cross multiply
    5,022.70x = 7,534.50 × 1,324.88
  4. Step 4: Simplify right side
    5,022.70x = 9,982,308.36
  5. Step 5: Solve for x
    x = 9,982,308.36/5,022.70
  6. Step 6: Final answer
    x = 1,987.44

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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.