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Finding the Fourth Proportional to 5,462.31, 7,537.08 and 3,223.86

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Solution

The fourth proportional to 5,462.31, 7,537.08 and 3,223.86 is: 4,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.31 : 7,537.08 = 3,223.86 : x
  2. Step 2: Convert to fraction form
    5,462.31/7,537.08 = 3,223.86/x
  3. Step 3: Cross multiply
    5,462.31x = 7,537.08 × 3,223.86
  4. Step 4: Simplify right side
    5,462.31x = 24,298,490.73
  5. Step 5: Solve for x
    x = 24,298,490.73/5,462.31
  6. Step 6: Final answer
    x = 4,448.39

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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.