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Finding the Fourth Proportional to 4,114.79, 5,679.14 and 2,322.81

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Solution

The fourth proportional to 4,114.79, 5,679.14 and 2,322.81 is: 3,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.79 : 5,679.14 = 2,322.81 : x
  2. Step 2: Convert to fraction form
    4,114.79/5,679.14 = 2,322.81/x
  3. Step 3: Cross multiply
    4,114.79x = 5,679.14 × 2,322.81
  4. Step 4: Simplify right side
    4,114.79x = 13,191,568.99
  5. Step 5: Solve for x
    x = 13,191,568.99/4,114.79
  6. Step 6: Final answer
    x = 3,205.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.