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Finding the Fourth Proportional to 5,304.98, 7,945.76 and 3,324.16

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Solution

The fourth proportional to 5,304.98, 7,945.76 and 3,324.16 is: 4,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.98 : 7,945.76 = 3,324.16 : x
  2. Step 2: Convert to fraction form
    5,304.98/7,945.76 = 3,324.16/x
  3. Step 3: Cross multiply
    5,304.98x = 7,945.76 × 3,324.16
  4. Step 4: Simplify right side
    5,304.98x = 26,412,977.56
  5. Step 5: Solve for x
    x = 26,412,977.56/5,304.98
  6. Step 6: Final answer
    x = 4,978.90

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1.5x scale

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.