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Finding the Fourth Proportional to 3,747.00, 5,171.04 and 2,068.65

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Solution

The fourth proportional to 3,747.00, 5,171.04 and 2,068.65 is: 2,854.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.00 : 5,171.04 = 2,068.65 : x
  2. Step 2: Convert to fraction form
    3,747.00/5,171.04 = 2,068.65/x
  3. Step 3: Cross multiply
    3,747.00x = 5,171.04 × 2,068.65
  4. Step 4: Simplify right side
    3,747.00x = 10,697,071.90
  5. Step 5: Solve for x
    x = 10,697,071.90/3,747.00
  6. Step 6: Final answer
    x = 2,854.83

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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.