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Finding the Fourth Proportional to 4,217.85, 6,325.17 and 1,684.17

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Solution

The fourth proportional to 4,217.85, 6,325.17 and 1,684.17 is: 2,525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217.85 : 6,325.17 = 1,684.17 : x
  2. Step 2: Convert to fraction form
    4,217.85/6,325.17 = 1,684.17/x
  3. Step 3: Cross multiply
    4,217.85x = 6,325.17 × 1,684.17
  4. Step 4: Simplify right side
    4,217.85x = 10,652,661.56
  5. Step 5: Solve for x
    x = 10,652,661.56/4,217.85
  6. Step 6: Final answer
    x = 2,525.61

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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.