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Finding the Fourth Proportional to 3,499.96, 5,253.74 and 3,112.45

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Solution

The fourth proportional to 3,499.96, 5,253.74 and 3,112.45 is: 4,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.96 : 5,253.74 = 3,112.45 : x
  2. Step 2: Convert to fraction form
    3,499.96/5,253.74 = 3,112.45/x
  3. Step 3: Cross multiply
    3,499.96x = 5,253.74 × 3,112.45
  4. Step 4: Simplify right side
    3,499.96x = 16,351,992.06
  5. Step 5: Solve for x
    x = 16,351,992.06/3,499.96
  6. Step 6: Final answer
    x = 4,672.05

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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.