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Finding the Fourth Proportional to 4,069.56, 6,109.20 and 2,614.80

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Solution

The fourth proportional to 4,069.56, 6,109.20 and 2,614.80 is: 3,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.56 : 6,109.20 = 2,614.80 : x
  2. Step 2: Convert to fraction form
    4,069.56/6,109.20 = 2,614.80/x
  3. Step 3: Cross multiply
    4,069.56x = 6,109.20 × 2,614.80
  4. Step 4: Simplify right side
    4,069.56x = 15,974,336.16
  5. Step 5: Solve for x
    x = 15,974,336.16/4,069.56
  6. Step 6: Final answer
    x = 3,925.32

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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.