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Finding the Fourth Proportional to 5,623.54, 8,422.78 and 3,975.10

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Solution

The fourth proportional to 5,623.54, 8,422.78 and 3,975.10 is: 5,953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.54 : 8,422.78 = 3,975.10 : x
  2. Step 2: Convert to fraction form
    5,623.54/8,422.78 = 3,975.10/x
  3. Step 3: Cross multiply
    5,623.54x = 8,422.78 × 3,975.10
  4. Step 4: Simplify right side
    5,623.54x = 33,481,392.78
  5. Step 5: Solve for x
    x = 33,481,392.78/5,623.54
  6. Step 6: Final answer
    x = 5,953.79

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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.