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Finding the Fourth Proportional to 4,216.75, 6,325.49 and 1,138.75

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Solution

The fourth proportional to 4,216.75, 6,325.49 and 1,138.75 is: 1,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.75 : 6,325.49 = 1,138.75 : x
  2. Step 2: Convert to fraction form
    4,216.75/6,325.49 = 1,138.75/x
  3. Step 3: Cross multiply
    4,216.75x = 6,325.49 × 1,138.75
  4. Step 4: Simplify right side
    4,216.75x = 7,203,151.74
  5. Step 5: Solve for x
    x = 7,203,151.74/4,216.75
  6. Step 6: Final answer
    x = 1,708.22

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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.