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Finding the Fourth Proportional to 3,749.69, 5,175.03 and 2,177.79

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Solution

The fourth proportional to 3,749.69, 5,175.03 and 2,177.79 is: 3,005.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.69 : 5,175.03 = 2,177.79 : x
  2. Step 2: Convert to fraction form
    3,749.69/5,175.03 = 2,177.79/x
  3. Step 3: Cross multiply
    3,749.69x = 5,175.03 × 2,177.79
  4. Step 4: Simplify right side
    3,749.69x = 11,270,117.34
  5. Step 5: Solve for x
    x = 11,270,117.34/3,749.69
  6. Step 6: Final answer
    x = 3,005.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.