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Finding the Fourth Proportional to 3,686.34, 5,086.35 and 2,194.38

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Solution

The fourth proportional to 3,686.34, 5,086.35 and 2,194.38 is: 3,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.34 : 5,086.35 = 2,194.38 : x
  2. Step 2: Convert to fraction form
    3,686.34/5,086.35 = 2,194.38/x
  3. Step 3: Cross multiply
    3,686.34x = 5,086.35 × 2,194.38
  4. Step 4: Simplify right side
    3,686.34x = 11,161,384.71
  5. Step 5: Solve for x
    x = 11,161,384.71/3,686.34
  6. Step 6: Final answer
    x = 3,027.77

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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.