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Finding the Fourth Proportional to 4,202, 5,798.96 and 2,339

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Solution

The fourth proportional to 4,202, 5,798.96 and 2,339 is: 3,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202 : 5,798.96 = 2,339 : x
  2. Step 2: Convert to fraction form
    4,202/5,798.96 = 2,339/x
  3. Step 3: Cross multiply
    4,202x = 5,798.96 × 2,339
  4. Step 4: Simplify right side
    4,202x = 13,563,767.44
  5. Step 5: Solve for x
    x = 13,563,767.44/4,202
  6. Step 6: Final answer
    x = 3,227.93

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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.