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Finding the Fourth Proportional to 3,773.69, 5,212.68 and 3,146.27

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Solution

The fourth proportional to 3,773.69, 5,212.68 and 3,146.27 is: 4,346.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.69 : 5,212.68 = 3,146.27 : x
  2. Step 2: Convert to fraction form
    3,773.69/5,212.68 = 3,146.27/x
  3. Step 3: Cross multiply
    3,773.69x = 5,212.68 × 3,146.27
  4. Step 4: Simplify right side
    3,773.69x = 16,400,498.70
  5. Step 5: Solve for x
    x = 16,400,498.70/3,773.69
  6. Step 6: Final answer
    x = 4,346.01

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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.