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Finding the Fourth Proportional to 3,092.72, 4,639.14 and 1,861.16

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Solution

The fourth proportional to 3,092.72, 4,639.14 and 1,861.16 is: 2,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.72 : 4,639.14 = 1,861.16 : x
  2. Step 2: Convert to fraction form
    3,092.72/4,639.14 = 1,861.16/x
  3. Step 3: Cross multiply
    3,092.72x = 4,639.14 × 1,861.16
  4. Step 4: Simplify right side
    3,092.72x = 8,634,158.61
  5. Step 5: Solve for x
    x = 8,634,158.61/3,092.72
  6. Step 6: Final answer
    x = 2,791.77

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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.