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Finding the Fourth Proportional to 5,239.66, 7,229.91 and 3,001

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Solution

The fourth proportional to 5,239.66, 7,229.91 and 3,001 is: 4,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.66 : 7,229.91 = 3,001 : x
  2. Step 2: Convert to fraction form
    5,239.66/7,229.91 = 3,001/x
  3. Step 3: Cross multiply
    5,239.66x = 7,229.91 × 3,001
  4. Step 4: Simplify right side
    5,239.66x = 21,696,959.91
  5. Step 5: Solve for x
    x = 21,696,959.91/5,239.66
  6. Step 6: Final answer
    x = 4,140.91

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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.