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Finding the Fourth Proportional to 5,926.56, 8,171.82 and 4,039.28

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Solution

The fourth proportional to 5,926.56, 8,171.82 and 4,039.28 is: 5,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.56 : 8,171.82 = 4,039.28 : x
  2. Step 2: Convert to fraction form
    5,926.56/8,171.82 = 4,039.28/x
  3. Step 3: Cross multiply
    5,926.56x = 8,171.82 × 4,039.28
  4. Step 4: Simplify right side
    5,926.56x = 33,008,274.02
  5. Step 5: Solve for x
    x = 33,008,274.02/5,926.56
  6. Step 6: Final answer
    x = 5,569.55

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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.