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Finding the Fourth Proportional to 4,229.93, 5,837.34 and 2,366.93

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Solution

The fourth proportional to 4,229.93, 5,837.34 and 2,366.93 is: 3,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.93 : 5,837.34 = 2,366.93 : x
  2. Step 2: Convert to fraction form
    4,229.93/5,837.34 = 2,366.93/x
  3. Step 3: Cross multiply
    4,229.93x = 5,837.34 × 2,366.93
  4. Step 4: Simplify right side
    4,229.93x = 13,816,575.17
  5. Step 5: Solve for x
    x = 13,816,575.17/4,229.93
  6. Step 6: Final answer
    x = 3,266.38

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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.