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Finding the Fourth Proportional to 5,952.48, 8,213.04 and 4,092

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Solution

The fourth proportional to 5,952.48, 8,213.04 and 4,092 is: 5,646.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.48 : 8,213.04 = 4,092 : x
  2. Step 2: Convert to fraction form
    5,952.48/8,213.04 = 4,092/x
  3. Step 3: Cross multiply
    5,952.48x = 8,213.04 × 4,092
  4. Step 4: Simplify right side
    5,952.48x = 33,607,759.68
  5. Step 5: Solve for x
    x = 33,607,759.68/5,952.48
  6. Step 6: Final answer
    x = 5,646.01

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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.