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Finding the Fourth Proportional to 3,704.94, 5,562.95 and 2,327.00

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Solution

The fourth proportional to 3,704.94, 5,562.95 and 2,327.00 is: 3,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.94 : 5,562.95 = 2,327.00 : x
  2. Step 2: Convert to fraction form
    3,704.94/5,562.95 = 2,327.00/x
  3. Step 3: Cross multiply
    3,704.94x = 5,562.95 × 2,327.00
  4. Step 4: Simplify right side
    3,704.94x = 12,944,945.20
  5. Step 5: Solve for x
    x = 12,944,945.20/3,704.94
  6. Step 6: Final answer
    x = 3,493.97

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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.