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Finding the Fourth Proportional to 5,696.24, 8,544.60 and 2,777

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Solution

The fourth proportional to 5,696.24, 8,544.60 and 2,777 is: 4,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.24 : 8,544.60 = 2,777 : x
  2. Step 2: Convert to fraction form
    5,696.24/8,544.60 = 2,777/x
  3. Step 3: Cross multiply
    5,696.24x = 8,544.60 × 2,777
  4. Step 4: Simplify right side
    5,696.24x = 23,728,354.20
  5. Step 5: Solve for x
    x = 23,728,354.20/5,696.24
  6. Step 6: Final answer
    x = 4,165.62

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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.