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Finding the Fourth Proportional to 3,773.72, 5,207.80 and 2,095.16

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Solution

The fourth proportional to 3,773.72, 5,207.80 and 2,095.16 is: 2,891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.72 : 5,207.80 = 2,095.16 : x
  2. Step 2: Convert to fraction form
    3,773.72/5,207.80 = 2,095.16/x
  3. Step 3: Cross multiply
    3,773.72x = 5,207.80 × 2,095.16
  4. Step 4: Simplify right side
    3,773.72x = 10,911,174.25
  5. Step 5: Solve for x
    x = 10,911,174.25/3,773.72
  6. Step 6: Final answer
    x = 2,891.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.