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Finding the Fourth Proportional to 4,270.37, 5,892.98 and 2,382

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Solution

The fourth proportional to 4,270.37, 5,892.98 and 2,382 is: 3,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.37 : 5,892.98 = 2,382 : x
  2. Step 2: Convert to fraction form
    4,270.37/5,892.98 = 2,382/x
  3. Step 3: Cross multiply
    4,270.37x = 5,892.98 × 2,382
  4. Step 4: Simplify right side
    4,270.37x = 14,037,078.36
  5. Step 5: Solve for x
    x = 14,037,078.36/4,270.37
  6. Step 6: Final answer
    x = 3,287.09

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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.