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Finding the Fourth Proportional to 5,178.15, 7,763.22 and 2,544.84

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Solution

The fourth proportional to 5,178.15, 7,763.22 and 2,544.84 is: 3,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.15 : 7,763.22 = 2,544.84 : x
  2. Step 2: Convert to fraction form
    5,178.15/7,763.22 = 2,544.84/x
  3. Step 3: Cross multiply
    5,178.15x = 7,763.22 × 2,544.84
  4. Step 4: Simplify right side
    5,178.15x = 19,756,152.78
  5. Step 5: Solve for x
    x = 19,756,152.78/5,178.15
  6. Step 6: Final answer
    x = 3,815.29

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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.