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Finding the Fourth Proportional to 6,107.57, 8,428.05 and 3,418.34

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Solution

The fourth proportional to 6,107.57, 8,428.05 and 3,418.34 is: 4,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.57 : 8,428.05 = 3,418.34 : x
  2. Step 2: Convert to fraction form
    6,107.57/8,428.05 = 3,418.34/x
  3. Step 3: Cross multiply
    6,107.57x = 8,428.05 × 3,418.34
  4. Step 4: Simplify right side
    6,107.57x = 28,809,898.30
  5. Step 5: Solve for x
    x = 28,809,898.30/6,107.57
  6. Step 6: Final answer
    x = 4,717.08

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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.