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Finding the Fourth Proportional to 3,457.81, 5,183.34 and 1,377.19

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Solution

The fourth proportional to 3,457.81, 5,183.34 and 1,377.19 is: 2,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.81 : 5,183.34 = 1,377.19 : x
  2. Step 2: Convert to fraction form
    3,457.81/5,183.34 = 1,377.19/x
  3. Step 3: Cross multiply
    3,457.81x = 5,183.34 × 1,377.19
  4. Step 4: Simplify right side
    3,457.81x = 7,138,444.01
  5. Step 5: Solve for x
    x = 7,138,444.01/3,457.81
  6. Step 6: Final answer
    x = 2,064.44

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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.