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Finding the Fourth Proportional to 5,362.14, 8,032.20 and 4,747.44

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Solution

The fourth proportional to 5,362.14, 8,032.20 and 4,747.44 is: 7,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.14 : 8,032.20 = 4,747.44 : x
  2. Step 2: Convert to fraction form
    5,362.14/8,032.20 = 4,747.44/x
  3. Step 3: Cross multiply
    5,362.14x = 8,032.20 × 4,747.44
  4. Step 4: Simplify right side
    5,362.14x = 38,132,387.57
  5. Step 5: Solve for x
    x = 38,132,387.57/5,362.14
  6. Step 6: Final answer
    x = 7,111.41

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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.