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Finding the Fourth Proportional to 5,715.36, 7,886.39 and 3,197.34

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Solution

The fourth proportional to 5,715.36, 7,886.39 and 3,197.34 is: 4,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.36 : 7,886.39 = 3,197.34 : x
  2. Step 2: Convert to fraction form
    5,715.36/7,886.39 = 3,197.34/x
  3. Step 3: Cross multiply
    5,715.36x = 7,886.39 × 3,197.34
  4. Step 4: Simplify right side
    5,715.36x = 25,215,454.22
  5. Step 5: Solve for x
    x = 25,215,454.22/5,715.36
  6. Step 6: Final answer
    x = 4,411.88

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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.