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Finding the Fourth Proportional to 4,270.29, 5,892.93 and 2,382

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Solution

The fourth proportional to 4,270.29, 5,892.93 and 2,382 is: 3,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.29 : 5,892.93 = 2,382 : x
  2. Step 2: Convert to fraction form
    4,270.29/5,892.93 = 2,382/x
  3. Step 3: Cross multiply
    4,270.29x = 5,892.93 × 2,382
  4. Step 4: Simplify right side
    4,270.29x = 14,036,959.26
  5. Step 5: Solve for x
    x = 14,036,959.26/4,270.29
  6. Step 6: Final answer
    x = 3,287.12

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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.