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Finding the Fourth Proportional to 5,772.94, 7,964.16 and 3,647

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Solution

The fourth proportional to 5,772.94, 7,964.16 and 3,647 is: 5,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.94 : 7,964.16 = 3,647 : x
  2. Step 2: Convert to fraction form
    5,772.94/7,964.16 = 3,647/x
  3. Step 3: Cross multiply
    5,772.94x = 7,964.16 × 3,647
  4. Step 4: Simplify right side
    5,772.94x = 29,045,291.52
  5. Step 5: Solve for x
    x = 29,045,291.52/5,772.94
  6. Step 6: Final answer
    x = 5,031.29

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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.