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Finding the Fourth Proportional to 3,685.43, 5,085.98 and 2,006.93

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Solution

The fourth proportional to 3,685.43, 5,085.98 and 2,006.93 is: 2,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.43 : 5,085.98 = 2,006.93 : x
  2. Step 2: Convert to fraction form
    3,685.43/5,085.98 = 2,006.93/x
  3. Step 3: Cross multiply
    3,685.43x = 5,085.98 × 2,006.93
  4. Step 4: Simplify right side
    3,685.43x = 10,207,175.39
  5. Step 5: Solve for x
    x = 10,207,175.39/3,685.43
  6. Step 6: Final answer
    x = 2,769.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.