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Finding the Fourth Proportional to 4,109.61, 5,671.29 and 2,246.61

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Solution

The fourth proportional to 4,109.61, 5,671.29 and 2,246.61 is: 3,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.61 : 5,671.29 = 2,246.61 : x
  2. Step 2: Convert to fraction form
    4,109.61/5,671.29 = 2,246.61/x
  3. Step 3: Cross multiply
    4,109.61x = 5,671.29 × 2,246.61
  4. Step 4: Simplify right side
    4,109.61x = 12,741,176.83
  5. Step 5: Solve for x
    x = 12,741,176.83/4,109.61
  6. Step 6: Final answer
    x = 3,100.34

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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.