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Finding the Fourth Proportional to 3,453.39, 4,766.07 and 2,056.14

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Solution

The fourth proportional to 3,453.39, 4,766.07 and 2,056.14 is: 2,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.39 : 4,766.07 = 2,056.14 : x
  2. Step 2: Convert to fraction form
    3,453.39/4,766.07 = 2,056.14/x
  3. Step 3: Cross multiply
    3,453.39x = 4,766.07 × 2,056.14
  4. Step 4: Simplify right side
    3,453.39x = 9,799,707.17
  5. Step 5: Solve for x
    x = 9,799,707.17/3,453.39
  6. Step 6: Final answer
    x = 2,837.71

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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.