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Finding the Fourth Proportional to 3,734.79, 5,154.14 and 2,243.37

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Solution

The fourth proportional to 3,734.79, 5,154.14 and 2,243.37 is: 3,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.79 : 5,154.14 = 2,243.37 : x
  2. Step 2: Convert to fraction form
    3,734.79/5,154.14 = 2,243.37/x
  3. Step 3: Cross multiply
    3,734.79x = 5,154.14 × 2,243.37
  4. Step 4: Simplify right side
    3,734.79x = 11,562,643.05
  5. Step 5: Solve for x
    x = 11,562,643.05/3,734.79
  6. Step 6: Final answer
    x = 3,095.93

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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.