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Finding the Fourth Proportional to 5,268.42, 7,912.19 and 4,569.49

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Solution

The fourth proportional to 5,268.42, 7,912.19 and 4,569.49 is: 6,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.42 : 7,912.19 = 4,569.49 : x
  2. Step 2: Convert to fraction form
    5,268.42/7,912.19 = 4,569.49/x
  3. Step 3: Cross multiply
    5,268.42x = 7,912.19 × 4,569.49
  4. Step 4: Simplify right side
    5,268.42x = 36,154,664.73
  5. Step 5: Solve for x
    x = 36,154,664.73/5,268.42
  6. Step 6: Final answer
    x = 6,862.53

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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.