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Finding the Fourth Proportional to 4,082.29, 6,125.29 and 2,419.69

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Solution

The fourth proportional to 4,082.29, 6,125.29 and 2,419.69 is: 3,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.29 : 6,125.29 = 2,419.69 : x
  2. Step 2: Convert to fraction form
    4,082.29/6,125.29 = 2,419.69/x
  3. Step 3: Cross multiply
    4,082.29x = 6,125.29 × 2,419.69
  4. Step 4: Simplify right side
    4,082.29x = 14,821,311.11
  5. Step 5: Solve for x
    x = 14,821,311.11/4,082.29
  6. Step 6: Final answer
    x = 3,630.64

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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.