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Finding the Fourth Proportional to 5,843.52, 8,768.23 and 2,556.63

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Solution

The fourth proportional to 5,843.52, 8,768.23 and 2,556.63 is: 3,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.52 : 8,768.23 = 2,556.63 : x
  2. Step 2: Convert to fraction form
    5,843.52/8,768.23 = 2,556.63/x
  3. Step 3: Cross multiply
    5,843.52x = 8,768.23 × 2,556.63
  4. Step 4: Simplify right side
    5,843.52x = 22,417,113.47
  5. Step 5: Solve for x
    x = 22,417,113.47/5,843.52
  6. Step 6: Final answer
    x = 3,836.23

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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.