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Finding the Fourth Proportional to 4,062.35, 6,091.81 and 1,596.78

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Solution

The fourth proportional to 4,062.35, 6,091.81 and 1,596.78 is: 2,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.35 : 6,091.81 = 1,596.78 : x
  2. Step 2: Convert to fraction form
    4,062.35/6,091.81 = 1,596.78/x
  3. Step 3: Cross multiply
    4,062.35x = 6,091.81 × 1,596.78
  4. Step 4: Simplify right side
    4,062.35x = 9,727,276.38
  5. Step 5: Solve for x
    x = 9,727,276.38/4,062.35
  6. Step 6: Final answer
    x = 2,394.49

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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.