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Finding the Fourth Proportional to 3,806.10, 5,252 and 2,314.82

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Solution

The fourth proportional to 3,806.10, 5,252 and 2,314.82 is: 3,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.10 : 5,252 = 2,314.82 : x
  2. Step 2: Convert to fraction form
    3,806.10/5,252 = 2,314.82/x
  3. Step 3: Cross multiply
    3,806.10x = 5,252 × 2,314.82
  4. Step 4: Simplify right side
    3,806.10x = 12,157,434.64
  5. Step 5: Solve for x
    x = 12,157,434.64/3,806.10
  6. Step 6: Final answer
    x = 3,194.20

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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.