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Finding the Fourth Proportional to 5,406.60, 8,105.04 and 2,806.56

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Solution

The fourth proportional to 5,406.60, 8,105.04 and 2,806.56 is: 4,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.60 : 8,105.04 = 2,806.56 : x
  2. Step 2: Convert to fraction form
    5,406.60/8,105.04 = 2,806.56/x
  3. Step 3: Cross multiply
    5,406.60x = 8,105.04 × 2,806.56
  4. Step 4: Simplify right side
    5,406.60x = 22,747,281.06
  5. Step 5: Solve for x
    x = 22,747,281.06/5,406.60
  6. Step 6: Final answer
    x = 4,207.32

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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.