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Finding the Fourth Proportional to 3,499.96, 5,234.45 and 3,112.68

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Solution

The fourth proportional to 3,499.96, 5,234.45 and 3,112.68 is: 4,655.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.96 : 5,234.45 = 3,112.68 : x
  2. Step 2: Convert to fraction form
    3,499.96/5,234.45 = 3,112.68/x
  3. Step 3: Cross multiply
    3,499.96x = 5,234.45 × 3,112.68
  4. Step 4: Simplify right side
    3,499.96x = 16,293,151.20
  5. Step 5: Solve for x
    x = 16,293,151.20/3,499.96
  6. Step 6: Final answer
    x = 4,655.24

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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.