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Finding the Fourth Proportional to 6,106.79, 8,426.46 and 3,454.14

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Solution

The fourth proportional to 6,106.79, 8,426.46 and 3,454.14 is: 4,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.79 : 8,426.46 = 3,454.14 : x
  2. Step 2: Convert to fraction form
    6,106.79/8,426.46 = 3,454.14/x
  3. Step 3: Cross multiply
    6,106.79x = 8,426.46 × 3,454.14
  4. Step 4: Simplify right side
    6,106.79x = 29,106,172.54
  5. Step 5: Solve for x
    x = 29,106,172.54/6,106.79
  6. Step 6: Final answer
    x = 4,766.20

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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.