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Finding the Fourth Proportional to 3,705.46, 5,114.02 and 2,112.68

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Solution

The fourth proportional to 3,705.46, 5,114.02 and 2,112.68 is: 2,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.46 : 5,114.02 = 2,112.68 : x
  2. Step 2: Convert to fraction form
    3,705.46/5,114.02 = 2,112.68/x
  3. Step 3: Cross multiply
    3,705.46x = 5,114.02 × 2,112.68
  4. Step 4: Simplify right side
    3,705.46x = 10,804,287.77
  5. Step 5: Solve for x
    x = 10,804,287.77/3,705.46
  6. Step 6: Final answer
    x = 2,915.78

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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.