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Finding the Fourth Proportional to 3,489.34, 4,815.03 and 2,091.82

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Solution

The fourth proportional to 3,489.34, 4,815.03 and 2,091.82 is: 2,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.34 : 4,815.03 = 2,091.82 : x
  2. Step 2: Convert to fraction form
    3,489.34/4,815.03 = 2,091.82/x
  3. Step 3: Cross multiply
    3,489.34x = 4,815.03 × 2,091.82
  4. Step 4: Simplify right side
    3,489.34x = 10,072,176.05
  5. Step 5: Solve for x
    x = 10,072,176.05/3,489.34
  6. Step 6: Final answer
    x = 2,886.56

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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.