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Finding the Fourth Proportional to 3,773.24, 5,207 and 2,094.65

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Solution

The fourth proportional to 3,773.24, 5,207 and 2,094.65 is: 2,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.24 : 5,207 = 2,094.65 : x
  2. Step 2: Convert to fraction form
    3,773.24/5,207 = 2,094.65/x
  3. Step 3: Cross multiply
    3,773.24x = 5,207 × 2,094.65
  4. Step 4: Simplify right side
    3,773.24x = 10,906,842.55
  5. Step 5: Solve for x
    x = 10,906,842.55/3,773.24
  6. Step 6: Final answer
    x = 2,890.58

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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.