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Finding the Fourth Proportional to 5,042.28, 6,952.04 and 4,285.33

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Solution

The fourth proportional to 5,042.28, 6,952.04 and 4,285.33 is: 5,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.28 : 6,952.04 = 4,285.33 : x
  2. Step 2: Convert to fraction form
    5,042.28/6,952.04 = 4,285.33/x
  3. Step 3: Cross multiply
    5,042.28x = 6,952.04 × 4,285.33
  4. Step 4: Simplify right side
    5,042.28x = 29,791,796.29
  5. Step 5: Solve for x
    x = 29,791,796.29/5,042.28
  6. Step 6: Final answer
    x = 5,908.40

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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.