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Finding the Fourth Proportional to 3,861.84, 5,784.93 and 3,083.16

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Solution

The fourth proportional to 3,861.84, 5,784.93 and 3,083.16 is: 4,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.84 : 5,784.93 = 3,083.16 : x
  2. Step 2: Convert to fraction form
    3,861.84/5,784.93 = 3,083.16/x
  3. Step 3: Cross multiply
    3,861.84x = 5,784.93 × 3,083.16
  4. Step 4: Simplify right side
    3,861.84x = 17,835,864.78
  5. Step 5: Solve for x
    x = 17,835,864.78/3,861.84
  6. Step 6: Final answer
    x = 4,618.49

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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.