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Finding the Fourth Proportional to 6,658.93, 9,189.78 and 3,827.23

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Solution

The fourth proportional to 6,658.93, 9,189.78 and 3,827.23 is: 5,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.93 : 9,189.78 = 3,827.23 : x
  2. Step 2: Convert to fraction form
    6,658.93/9,189.78 = 3,827.23/x
  3. Step 3: Cross multiply
    6,658.93x = 9,189.78 × 3,827.23
  4. Step 4: Simplify right side
    6,658.93x = 35,171,364.38
  5. Step 5: Solve for x
    x = 35,171,364.38/6,658.93
  6. Step 6: Final answer
    x = 5,281.83

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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.