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Finding the Fourth Proportional to 4,147.76, 6,228.03 and 2,511.56

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Solution

The fourth proportional to 4,147.76, 6,228.03 and 2,511.56 is: 3,771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.76 : 6,228.03 = 2,511.56 : x
  2. Step 2: Convert to fraction form
    4,147.76/6,228.03 = 2,511.56/x
  3. Step 3: Cross multiply
    4,147.76x = 6,228.03 × 2,511.56
  4. Step 4: Simplify right side
    4,147.76x = 15,642,071.03
  5. Step 5: Solve for x
    x = 15,642,071.03/4,147.76
  6. Step 6: Final answer
    x = 3,771.21

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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.