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Finding the Fourth Proportional to 6,389.21, 8,816.92 and 3,556.44

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Solution

The fourth proportional to 6,389.21, 8,816.92 and 3,556.44 is: 4,907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.21 : 8,816.92 = 3,556.44 : x
  2. Step 2: Convert to fraction form
    6,389.21/8,816.92 = 3,556.44/x
  3. Step 3: Cross multiply
    6,389.21x = 8,816.92 × 3,556.44
  4. Step 4: Simplify right side
    6,389.21x = 31,356,838.07
  5. Step 5: Solve for x
    x = 31,356,838.07/6,389.21
  6. Step 6: Final answer
    x = 4,907.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.