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Finding the Fourth Proportional to 5,348.84, 8,022.66 and 1,452.96

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Solution

The fourth proportional to 5,348.84, 8,022.66 and 1,452.96 is: 2,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.84 : 8,022.66 = 1,452.96 : x
  2. Step 2: Convert to fraction form
    5,348.84/8,022.66 = 1,452.96/x
  3. Step 3: Cross multiply
    5,348.84x = 8,022.66 × 1,452.96
  4. Step 4: Simplify right side
    5,348.84x = 11,656,604.07
  5. Step 5: Solve for x
    x = 11,656,604.07/5,348.84
  6. Step 6: Final answer
    x = 2,179.28

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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.