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Finding the Fourth Proportional to 3,864.94, 5,333.52 and 2,293

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Solution

The fourth proportional to 3,864.94, 5,333.52 and 2,293 is: 3,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.94 : 5,333.52 = 2,293 : x
  2. Step 2: Convert to fraction form
    3,864.94/5,333.52 = 2,293/x
  3. Step 3: Cross multiply
    3,864.94x = 5,333.52 × 2,293
  4. Step 4: Simplify right side
    3,864.94x = 12,229,761.36
  5. Step 5: Solve for x
    x = 12,229,761.36/3,864.94
  6. Step 6: Final answer
    x = 3,164.28

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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.