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Finding the Fourth Proportional to 3,399.53, 5,098.14 and 1,207.94

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Solution

The fourth proportional to 3,399.53, 5,098.14 and 1,207.94 is: 1,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.53 : 5,098.14 = 1,207.94 : x
  2. Step 2: Convert to fraction form
    3,399.53/5,098.14 = 1,207.94/x
  3. Step 3: Cross multiply
    3,399.53x = 5,098.14 × 1,207.94
  4. Step 4: Simplify right side
    3,399.53x = 6,158,221.74
  5. Step 5: Solve for x
    x = 6,158,221.74/3,399.53
  6. Step 6: Final answer
    x = 1,811.49

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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.