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Finding the Fourth Proportional to 4,410.78, 6,614.17 and 3,173.00

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Solution

The fourth proportional to 4,410.78, 6,614.17 and 3,173.00 is: 4,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,410.78 : 6,614.17 = 3,173.00 : x
  2. Step 2: Convert to fraction form
    4,410.78/6,614.17 = 3,173.00/x
  3. Step 3: Cross multiply
    4,410.78x = 6,614.17 × 3,173.00
  4. Step 4: Simplify right side
    4,410.78x = 20,986,720.41
  5. Step 5: Solve for x
    x = 20,986,720.41/4,410.78
  6. Step 6: Final answer
    x = 4,758.06

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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.