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Finding the Fourth Proportional to 4,147.54, 5,729.09 and 3,073.00

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Solution

The fourth proportional to 4,147.54, 5,729.09 and 3,073.00 is: 4,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.54 : 5,729.09 = 3,073.00 : x
  2. Step 2: Convert to fraction form
    4,147.54/5,729.09 = 3,073.00/x
  3. Step 3: Cross multiply
    4,147.54x = 5,729.09 × 3,073.00
  4. Step 4: Simplify right side
    4,147.54x = 17,605,494.56
  5. Step 5: Solve for x
    x = 17,605,494.56/4,147.54
  6. Step 6: Final answer
    x = 4,244.80

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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.