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Finding the Fourth Proportional to 4,108, 5,669.04 and 2,245

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Solution

The fourth proportional to 4,108, 5,669.04 and 2,245 is: 3,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108 : 5,669.04 = 2,245 : x
  2. Step 2: Convert to fraction form
    4,108/5,669.04 = 2,245/x
  3. Step 3: Cross multiply
    4,108x = 5,669.04 × 2,245
  4. Step 4: Simplify right side
    4,108x = 12,726,994.80
  5. Step 5: Solve for x
    x = 12,726,994.80/4,108
  6. Step 6: Final answer
    x = 3,098.10

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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.