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Finding the Fourth Proportional to 5,227.52, 7,848.23 and 3,037.82

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Solution

The fourth proportional to 5,227.52, 7,848.23 and 3,037.82 is: 4,560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.52 : 7,848.23 = 3,037.82 : x
  2. Step 2: Convert to fraction form
    5,227.52/7,848.23 = 3,037.82/x
  3. Step 3: Cross multiply
    5,227.52x = 7,848.23 × 3,037.82
  4. Step 4: Simplify right side
    5,227.52x = 23,841,510.06
  5. Step 5: Solve for x
    x = 23,841,510.06/5,227.52
  6. Step 6: Final answer
    x = 4,560.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.