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Finding the Fourth Proportional to 6,310.84, 8,709.38 and 4,182.68

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Solution

The fourth proportional to 6,310.84, 8,709.38 and 4,182.68 is: 5,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.84 : 8,709.38 = 4,182.68 : x
  2. Step 2: Convert to fraction form
    6,310.84/8,709.38 = 4,182.68/x
  3. Step 3: Cross multiply
    6,310.84x = 8,709.38 × 4,182.68
  4. Step 4: Simplify right side
    6,310.84x = 36,428,549.54
  5. Step 5: Solve for x
    x = 36,428,549.54/6,310.84
  6. Step 6: Final answer
    x = 5,772.38

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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.