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Finding the Fourth Proportional to 3,773.79, 5,207.80 and 2,095.14

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Solution

The fourth proportional to 3,773.79, 5,207.80 and 2,095.14 is: 2,891.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.79 : 5,207.80 = 2,095.14 : x
  2. Step 2: Convert to fraction form
    3,773.79/5,207.80 = 2,095.14/x
  3. Step 3: Cross multiply
    3,773.79x = 5,207.80 × 2,095.14
  4. Step 4: Simplify right side
    3,773.79x = 10,911,070.09
  5. Step 5: Solve for x
    x = 10,911,070.09/3,773.79
  6. Step 6: Final answer
    x = 2,891.28

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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.