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Finding the Fourth Proportional to 3,673.48, 5,054.39 and 3,174.52

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Solution

The fourth proportional to 3,673.48, 5,054.39 and 3,174.52 is: 4,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.48 : 5,054.39 = 3,174.52 : x
  2. Step 2: Convert to fraction form
    3,673.48/5,054.39 = 3,174.52/x
  3. Step 3: Cross multiply
    3,673.48x = 5,054.39 × 3,174.52
  4. Step 4: Simplify right side
    3,673.48x = 16,045,246.27
  5. Step 5: Solve for x
    x = 16,045,246.27/3,673.48
  6. Step 6: Final answer
    x = 4,367.86

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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.