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Finding the Fourth Proportional to 6,658.69, 9,188.94 and 3,826.39

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Solution

The fourth proportional to 6,658.69, 9,188.94 and 3,826.39 is: 5,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.69 : 9,188.94 = 3,826.39 : x
  2. Step 2: Convert to fraction form
    6,658.69/9,188.94 = 3,826.39/x
  3. Step 3: Cross multiply
    6,658.69x = 9,188.94 × 3,826.39
  4. Step 4: Simplify right side
    6,658.69x = 35,160,468.13
  5. Step 5: Solve for x
    x = 35,160,468.13/6,658.69
  6. Step 6: Final answer
    x = 5,280.39

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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.