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Finding the Fourth Proportional to 4,052.88, 6,082.54 and 2,105.64

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Solution

The fourth proportional to 4,052.88, 6,082.54 and 2,105.64 is: 3,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.88 : 6,082.54 = 2,105.64 : x
  2. Step 2: Convert to fraction form
    4,052.88/6,082.54 = 2,105.64/x
  3. Step 3: Cross multiply
    4,052.88x = 6,082.54 × 2,105.64
  4. Step 4: Simplify right side
    4,052.88x = 12,807,639.53
  5. Step 5: Solve for x
    x = 12,807,639.53/4,052.88
  6. Step 6: Final answer
    x = 3,160.13

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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.