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Finding the Fourth Proportional to 5,663.88, 8,497.04 and 2,201.12

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Solution

The fourth proportional to 5,663.88, 8,497.04 and 2,201.12 is: 3,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.88 : 8,497.04 = 2,201.12 : x
  2. Step 2: Convert to fraction form
    5,663.88/8,497.04 = 2,201.12/x
  3. Step 3: Cross multiply
    5,663.88x = 8,497.04 × 2,201.12
  4. Step 4: Simplify right side
    5,663.88x = 18,703,004.68
  5. Step 5: Solve for x
    x = 18,703,004.68/5,663.88
  6. Step 6: Final answer
    x = 3,302.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.