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Finding the Fourth Proportional to 5,462.73, 8,201.01 and 4,549.47

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Solution

The fourth proportional to 5,462.73, 8,201.01 and 4,549.47 is: 6,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.73 : 8,201.01 = 4,549.47 : x
  2. Step 2: Convert to fraction form
    5,462.73/8,201.01 = 4,549.47/x
  3. Step 3: Cross multiply
    5,462.73x = 8,201.01 × 4,549.47
  4. Step 4: Simplify right side
    5,462.73x = 37,310,248.96
  5. Step 5: Solve for x
    x = 37,310,248.96/5,462.73
  6. Step 6: Final answer
    x = 6,829.96

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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.