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Finding the Fourth Proportional to 5,534.24, 7,632.24 and 3,668

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Solution

The fourth proportional to 5,534.24, 7,632.24 and 3,668 is: 5,058.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,534.24 : 7,632.24 = 3,668 : x
  2. Step 2: Convert to fraction form
    5,534.24/7,632.24 = 3,668/x
  3. Step 3: Cross multiply
    5,534.24x = 7,632.24 × 3,668
  4. Step 4: Simplify right side
    5,534.24x = 27,995,056.32
  5. Step 5: Solve for x
    x = 27,995,056.32/5,534.24
  6. Step 6: Final answer
    x = 5,058.52

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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.