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Finding the Fourth Proportional to 5,178.25, 7,768.19 and 1,716.31

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Solution

The fourth proportional to 5,178.25, 7,768.19 and 1,716.31 is: 2,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.25 : 7,768.19 = 1,716.31 : x
  2. Step 2: Convert to fraction form
    5,178.25/7,768.19 = 1,716.31/x
  3. Step 3: Cross multiply
    5,178.25x = 7,768.19 × 1,716.31
  4. Step 4: Simplify right side
    5,178.25x = 13,332,622.18
  5. Step 5: Solve for x
    x = 13,332,622.18/5,178.25
  6. Step 6: Final answer
    x = 2,574.74

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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.