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Finding the Fourth Proportional to 4,612.14, 6,917.47 and 1,324.49

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Solution

The fourth proportional to 4,612.14, 6,917.47 and 1,324.49 is: 1,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.14 : 6,917.47 = 1,324.49 : x
  2. Step 2: Convert to fraction form
    4,612.14/6,917.47 = 1,324.49/x
  3. Step 3: Cross multiply
    4,612.14x = 6,917.47 × 1,324.49
  4. Step 4: Simplify right side
    4,612.14x = 9,162,112.85
  5. Step 5: Solve for x
    x = 9,162,112.85/4,612.14
  6. Step 6: Final answer
    x = 1,986.52

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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.