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Finding the Fourth Proportional to 4,147.06, 6,217.49 and 2,503.22

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Solution

The fourth proportional to 4,147.06, 6,217.49 and 2,503.22 is: 3,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.06 : 6,217.49 = 2,503.22 : x
  2. Step 2: Convert to fraction form
    4,147.06/6,217.49 = 2,503.22/x
  3. Step 3: Cross multiply
    4,147.06x = 6,217.49 × 2,503.22
  4. Step 4: Simplify right side
    4,147.06x = 15,563,748.35
  5. Step 5: Solve for x
    x = 15,563,748.35/4,147.06
  6. Step 6: Final answer
    x = 3,752.96

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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.