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Finding the Fourth Proportional to 4,166.57, 6,246.77 and 2,522.72

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Solution

The fourth proportional to 4,166.57, 6,246.77 and 2,522.72 is: 3,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.57 : 6,246.77 = 2,522.72 : x
  2. Step 2: Convert to fraction form
    4,166.57/6,246.77 = 2,522.72/x
  3. Step 3: Cross multiply
    4,166.57x = 6,246.77 × 2,522.72
  4. Step 4: Simplify right side
    4,166.57x = 15,758,854.62
  5. Step 5: Solve for x
    x = 15,758,854.62/4,166.57
  6. Step 6: Final answer
    x = 3,782.21

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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.