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Finding the Fourth Proportional to 3,527.60, 5,296.80 and 2,069.60

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Solution

The fourth proportional to 3,527.60, 5,296.80 and 2,069.60 is: 3,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.60 : 5,296.80 = 2,069.60 : x
  2. Step 2: Convert to fraction form
    3,527.60/5,296.80 = 2,069.60/x
  3. Step 3: Cross multiply
    3,527.60x = 5,296.80 × 2,069.60
  4. Step 4: Simplify right side
    3,527.60x = 10,962,257.28
  5. Step 5: Solve for x
    x = 10,962,257.28/3,527.60
  6. Step 6: Final answer
    x = 3,107.57

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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.