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Finding the Fourth Proportional to 3,861.17, 5,792.84 and 1,265.93

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Solution

The fourth proportional to 3,861.17, 5,792.84 and 1,265.93 is: 1,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.17 : 5,792.84 = 1,265.93 : x
  2. Step 2: Convert to fraction form
    3,861.17/5,792.84 = 1,265.93/x
  3. Step 3: Cross multiply
    3,861.17x = 5,792.84 × 1,265.93
  4. Step 4: Simplify right side
    3,861.17x = 7,333,323.61
  5. Step 5: Solve for x
    x = 7,333,323.61/3,861.17
  6. Step 6: Final answer
    x = 1,899.25

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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.