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Finding the Fourth Proportional to 3,861.77, 5,788.17 and 1,777.40

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Solution

The fourth proportional to 3,861.77, 5,788.17 and 1,777.40 is: 2,664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.77 : 5,788.17 = 1,777.40 : x
  2. Step 2: Convert to fraction form
    3,861.77/5,788.17 = 1,777.40/x
  3. Step 3: Cross multiply
    3,861.77x = 5,788.17 × 1,777.40
  4. Step 4: Simplify right side
    3,861.77x = 10,287,864.42
  5. Step 5: Solve for x
    x = 10,287,864.42/3,861.77
  6. Step 6: Final answer
    x = 2,664.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.