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Finding the Fourth Proportional to 3,477.66, 5,217.46 and 1,399.12

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Solution

The fourth proportional to 3,477.66, 5,217.46 and 1,399.12 is: 2,099.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.66 : 5,217.46 = 1,399.12 : x
  2. Step 2: Convert to fraction form
    3,477.66/5,217.46 = 1,399.12/x
  3. Step 3: Cross multiply
    3,477.66x = 5,217.46 × 1,399.12
  4. Step 4: Simplify right side
    3,477.66x = 7,299,852.64
  5. Step 5: Solve for x
    x = 7,299,852.64/3,477.66
  6. Step 6: Final answer
    x = 2,099.07

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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.