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Finding the Fourth Proportional to 5,485.24, 7,569.82 and 3,001.24

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Solution

The fourth proportional to 5,485.24, 7,569.82 and 3,001.24 is: 4,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,485.24 : 7,569.82 = 3,001.24 : x
  2. Step 2: Convert to fraction form
    5,485.24/7,569.82 = 3,001.24/x
  3. Step 3: Cross multiply
    5,485.24x = 7,569.82 × 3,001.24
  4. Step 4: Simplify right side
    5,485.24x = 22,718,846.58
  5. Step 5: Solve for x
    x = 22,718,846.58/5,485.24
  6. Step 6: Final answer
    x = 4,141.81

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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.