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Finding the Fourth Proportional to 5,866.67, 8,094.97 and 3,348.38

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Solution

The fourth proportional to 5,866.67, 8,094.97 and 3,348.38 is: 4,620.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.67 : 8,094.97 = 3,348.38 : x
  2. Step 2: Convert to fraction form
    5,866.67/8,094.97 = 3,348.38/x
  3. Step 3: Cross multiply
    5,866.67x = 8,094.97 × 3,348.38
  4. Step 4: Simplify right side
    5,866.67x = 27,105,047.52
  5. Step 5: Solve for x
    x = 27,105,047.52/5,866.67
  6. Step 6: Final answer
    x = 4,620.17

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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.