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Finding the Fourth Proportional to 4,325, 5,969.58 and 2,463.08

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Solution

The fourth proportional to 4,325, 5,969.58 and 2,463.08 is: 3,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,325 : 5,969.58 = 2,463.08 : x
  2. Step 2: Convert to fraction form
    4,325/5,969.58 = 2,463.08/x
  3. Step 3: Cross multiply
    4,325x = 5,969.58 × 2,463.08
  4. Step 4: Simplify right side
    4,325x = 14,703,553.11
  5. Step 5: Solve for x
    x = 14,703,553.11/4,325
  6. Step 6: Final answer
    x = 3,399.67

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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.