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Finding the Fourth Proportional to 4,102.91, 5,663.39 and 2,669.21

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Solution

The fourth proportional to 4,102.91, 5,663.39 and 2,669.21 is: 3,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.91 : 5,663.39 = 2,669.21 : x
  2. Step 2: Convert to fraction form
    4,102.91/5,663.39 = 2,669.21/x
  3. Step 3: Cross multiply
    4,102.91x = 5,663.39 × 2,669.21
  4. Step 4: Simplify right side
    4,102.91x = 15,116,777.22
  5. Step 5: Solve for x
    x = 15,116,777.22/4,102.91
  6. Step 6: Final answer
    x = 3,684.40

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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.