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Finding the Fourth Proportional to 5,621.68, 7,757.94 and 3,264.28

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Solution

The fourth proportional to 5,621.68, 7,757.94 and 3,264.28 is: 4,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.68 : 7,757.94 = 3,264.28 : x
  2. Step 2: Convert to fraction form
    5,621.68/7,757.94 = 3,264.28/x
  3. Step 3: Cross multiply
    5,621.68x = 7,757.94 × 3,264.28
  4. Step 4: Simplify right side
    5,621.68x = 25,324,088.38
  5. Step 5: Solve for x
    x = 25,324,088.38/5,621.68
  6. Step 6: Final answer
    x = 4,504.72

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Why These Related Problems?

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