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Finding the Fourth Proportional to 3,861.01, 5,792.24 and 1,265.77

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Solution

The fourth proportional to 3,861.01, 5,792.24 and 1,265.77 is: 1,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.01 : 5,792.24 = 1,265.77 : x
  2. Step 2: Convert to fraction form
    3,861.01/5,792.24 = 1,265.77/x
  3. Step 3: Cross multiply
    3,861.01x = 5,792.24 × 1,265.77
  4. Step 4: Simplify right side
    3,861.01x = 7,331,643.62
  5. Step 5: Solve for x
    x = 7,331,643.62/3,861.01
  6. Step 6: Final answer
    x = 1,898.89

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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.