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Finding the Fourth Proportional to 3,441.68, 4,747.56 and 2,114.48

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Solution

The fourth proportional to 3,441.68, 4,747.56 and 2,114.48 is: 2,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.68 : 4,747.56 = 2,114.48 : x
  2. Step 2: Convert to fraction form
    3,441.68/4,747.56 = 2,114.48/x
  3. Step 3: Cross multiply
    3,441.68x = 4,747.56 × 2,114.48
  4. Step 4: Simplify right side
    3,441.68x = 10,038,620.67
  5. Step 5: Solve for x
    x = 10,038,620.67/3,441.68
  6. Step 6: Final answer
    x = 2,916.78

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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.