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Finding the Fourth Proportional to 4,118, 5,682.96 and 2,255.12

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Solution

The fourth proportional to 4,118, 5,682.96 and 2,255.12 is: 3,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118 : 5,682.96 = 2,255.12 : x
  2. Step 2: Convert to fraction form
    4,118/5,682.96 = 2,255.12/x
  3. Step 3: Cross multiply
    4,118x = 5,682.96 × 2,255.12
  4. Step 4: Simplify right side
    4,118x = 12,815,756.76
  5. Step 5: Solve for x
    x = 12,815,756.76/4,118
  6. Step 6: Final answer
    x = 3,112.13

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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.