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Finding the Fourth Proportional to 6,107.91, 8,428.20 and 3,419.28

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Solution

The fourth proportional to 6,107.91, 8,428.20 and 3,419.28 is: 4,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.91 : 8,428.20 = 3,419.28 : x
  2. Step 2: Convert to fraction form
    6,107.91/8,428.20 = 3,419.28/x
  3. Step 3: Cross multiply
    6,107.91x = 8,428.20 × 3,419.28
  4. Step 4: Simplify right side
    6,107.91x = 28,818,356.91
  5. Step 5: Solve for x
    x = 28,818,356.91/6,107.91
  6. Step 6: Final answer
    x = 4,718.20

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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.