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Finding the Fourth Proportional to 5,542.83, 7,645.59 and 4,213.62

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Solution

The fourth proportional to 5,542.83, 7,645.59 and 4,213.62 is: 5,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.83 : 7,645.59 = 4,213.62 : x
  2. Step 2: Convert to fraction form
    5,542.83/7,645.59 = 4,213.62/x
  3. Step 3: Cross multiply
    5,542.83x = 7,645.59 × 4,213.62
  4. Step 4: Simplify right side
    5,542.83x = 32,215,610.94
  5. Step 5: Solve for x
    x = 32,215,610.94/5,542.83
  6. Step 6: Final answer
    x = 5,812.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.