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Finding the Fourth Proportional to 5,234.96, 7,225.49 and 2,998.13

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Solution

The fourth proportional to 5,234.96, 7,225.49 and 2,998.13 is: 4,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.96 : 7,225.49 = 2,998.13 : x
  2. Step 2: Convert to fraction form
    5,234.96/7,225.49 = 2,998.13/x
  3. Step 3: Cross multiply
    5,234.96x = 7,225.49 × 2,998.13
  4. Step 4: Simplify right side
    5,234.96x = 21,662,943.34
  5. Step 5: Solve for x
    x = 21,662,943.34/5,234.96
  6. Step 6: Final answer
    x = 4,138.13

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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.