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Finding the Fourth Proportional to 6,719.17, 9,272.49 and 3,886.49

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Solution

The fourth proportional to 6,719.17, 9,272.49 and 3,886.49 is: 5,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.17 : 9,272.49 = 3,886.49 : x
  2. Step 2: Convert to fraction form
    6,719.17/9,272.49 = 3,886.49/x
  3. Step 3: Cross multiply
    6,719.17x = 9,272.49 × 3,886.49
  4. Step 4: Simplify right side
    6,719.17x = 36,037,439.66
  5. Step 5: Solve for x
    x = 36,037,439.66/6,719.17
  6. Step 6: Final answer
    x = 5,363.38

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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.