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Finding the Fourth Proportional to 3,399.24, 5,099.05 and 934.01

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Solution

The fourth proportional to 3,399.24, 5,099.05 and 934.01 is: 1,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.24 : 5,099.05 = 934.01 : x
  2. Step 2: Convert to fraction form
    3,399.24/5,099.05 = 934.01/x
  3. Step 3: Cross multiply
    3,399.24x = 5,099.05 × 934.01
  4. Step 4: Simplify right side
    3,399.24x = 4,762,544.14
  5. Step 5: Solve for x
    x = 4,762,544.14/3,399.24
  6. Step 6: Final answer
    x = 1,401.06

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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.