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Finding the Fourth Proportional to 4,617.34, 6,927.94 and 3,138.20

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Solution

The fourth proportional to 4,617.34, 6,927.94 and 3,138.20 is: 4,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.34 : 6,927.94 = 3,138.20 : x
  2. Step 2: Convert to fraction form
    4,617.34/6,927.94 = 3,138.20/x
  3. Step 3: Cross multiply
    4,617.34x = 6,927.94 × 3,138.20
  4. Step 4: Simplify right side
    4,617.34x = 21,741,261.31
  5. Step 5: Solve for x
    x = 21,741,261.31/4,617.34
  6. Step 6: Final answer
    x = 4,708.61

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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.