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Finding the Fourth Proportional to 3,458.97, 4,774.09 and 2,114.81

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Solution

The fourth proportional to 3,458.97, 4,774.09 and 2,114.81 is: 2,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.97 : 4,774.09 = 2,114.81 : x
  2. Step 2: Convert to fraction form
    3,458.97/4,774.09 = 2,114.81/x
  3. Step 3: Cross multiply
    3,458.97x = 4,774.09 × 2,114.81
  4. Step 4: Simplify right side
    3,458.97x = 10,096,285.98
  5. Step 5: Solve for x
    x = 10,096,285.98/3,458.97
  6. Step 6: Final answer
    x = 2,918.87

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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.