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Finding the Fourth Proportional to 4,082.64, 6,125.04 and 1,892.94

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Solution

The fourth proportional to 4,082.64, 6,125.04 and 1,892.94 is: 2,839.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.64 : 6,125.04 = 1,892.94 : x
  2. Step 2: Convert to fraction form
    4,082.64/6,125.04 = 1,892.94/x
  3. Step 3: Cross multiply
    4,082.64x = 6,125.04 × 1,892.94
  4. Step 4: Simplify right side
    4,082.64x = 11,594,333.22
  5. Step 5: Solve for x
    x = 11,594,333.22/4,082.64
  6. Step 6: Final answer
    x = 2,839.91

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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.