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Finding the Fourth Proportional to 5,481.24, 7,561.47 and 3,592

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Solution

The fourth proportional to 5,481.24, 7,561.47 and 3,592 is: 4,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.24 : 7,561.47 = 3,592 : x
  2. Step 2: Convert to fraction form
    5,481.24/7,561.47 = 3,592/x
  3. Step 3: Cross multiply
    5,481.24x = 7,561.47 × 3,592
  4. Step 4: Simplify right side
    5,481.24x = 27,160,800.24
  5. Step 5: Solve for x
    x = 27,160,800.24/5,481.24
  6. Step 6: Final answer
    x = 4,955.23

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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.