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Finding the Fourth Proportional to 5,363.34, 8,057.38 and 5,141.92

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Solution

The fourth proportional to 5,363.34, 8,057.38 and 5,141.92 is: 7,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.34 : 8,057.38 = 5,141.92 : x
  2. Step 2: Convert to fraction form
    5,363.34/8,057.38 = 5,141.92/x
  3. Step 3: Cross multiply
    5,363.34x = 8,057.38 × 5,141.92
  4. Step 4: Simplify right side
    5,363.34x = 41,430,403.37
  5. Step 5: Solve for x
    x = 41,430,403.37/5,363.34
  6. Step 6: Final answer
    x = 7,724.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.