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Finding the Fourth Proportional to 5,114.40, 7,669.16 and 2,922.54

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Solution

The fourth proportional to 5,114.40, 7,669.16 and 2,922.54 is: 4,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.40 : 7,669.16 = 2,922.54 : x
  2. Step 2: Convert to fraction form
    5,114.40/7,669.16 = 2,922.54/x
  3. Step 3: Cross multiply
    5,114.40x = 7,669.16 × 2,922.54
  4. Step 4: Simplify right side
    5,114.40x = 22,413,426.87
  5. Step 5: Solve for x
    x = 22,413,426.87/5,114.40
  6. Step 6: Final answer
    x = 4,382.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.