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Finding the Fourth Proportional to 3,881.64, 5,356.35 and 2,309.43

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Solution

The fourth proportional to 3,881.64, 5,356.35 and 2,309.43 is: 3,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.64 : 5,356.35 = 2,309.43 : x
  2. Step 2: Convert to fraction form
    3,881.64/5,356.35 = 2,309.43/x
  3. Step 3: Cross multiply
    3,881.64x = 5,356.35 × 2,309.43
  4. Step 4: Simplify right side
    3,881.64x = 12,370,115.38
  5. Step 5: Solve for x
    x = 12,370,115.38/3,881.64
  6. Step 6: Final answer
    x = 3,186.83

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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.