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Finding the Fourth Proportional to 3,764.79, 5,647.22 and 1,167.72

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Solution

The fourth proportional to 3,764.79, 5,647.22 and 1,167.72 is: 1,751.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.79 : 5,647.22 = 1,167.72 : x
  2. Step 2: Convert to fraction form
    3,764.79/5,647.22 = 1,167.72/x
  3. Step 3: Cross multiply
    3,764.79x = 5,647.22 × 1,167.72
  4. Step 4: Simplify right side
    3,764.79x = 6,594,365.90
  5. Step 5: Solve for x
    x = 6,594,365.90/3,764.79
  6. Step 6: Final answer
    x = 1,751.59

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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.