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Finding the Fourth Proportional to 3,154.56, 4,733.52 and 2,112

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Solution

The fourth proportional to 3,154.56, 4,733.52 and 2,112 is: 3,169.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.56 : 4,733.52 = 2,112 : x
  2. Step 2: Convert to fraction form
    3,154.56/4,733.52 = 2,112/x
  3. Step 3: Cross multiply
    3,154.56x = 4,733.52 × 2,112
  4. Step 4: Simplify right side
    3,154.56x = 9,997,194.24
  5. Step 5: Solve for x
    x = 9,997,194.24/3,154.56
  6. Step 6: Final answer
    x = 3,169.12

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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.