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Finding the Fourth Proportional to 4,113, 5,675.94 and 2,250

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Solution

The fourth proportional to 4,113, 5,675.94 and 2,250 is: 3,105

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113 : 5,675.94 = 2,250 : x
  2. Step 2: Convert to fraction form
    4,113/5,675.94 = 2,250/x
  3. Step 3: Cross multiply
    4,113x = 5,675.94 × 2,250
  4. Step 4: Simplify right side
    4,113x = 12,770,865
  5. Step 5: Solve for x
    x = 12,770,865/4,113
  6. Step 6: Final answer
    x = 3,105

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.