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Finding the Fourth Proportional to 3,747.53, 5,171.51 and 2,068.83

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Solution

The fourth proportional to 3,747.53, 5,171.51 and 2,068.83 is: 2,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.53 : 5,171.51 = 2,068.83 : x
  2. Step 2: Convert to fraction form
    3,747.53/5,171.51 = 2,068.83/x
  3. Step 3: Cross multiply
    3,747.53x = 5,171.51 × 2,068.83
  4. Step 4: Simplify right side
    3,747.53x = 10,698,975.03
  5. Step 5: Solve for x
    x = 10,698,975.03/3,747.53
  6. Step 6: Final answer
    x = 2,854.94

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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.