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Finding the Fourth Proportional to 5,697.60, 8,559.20 and 3,969.60

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Solution

The fourth proportional to 5,697.60, 8,559.20 and 3,969.60 is: 5,963.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.60 : 8,559.20 = 3,969.60 : x
  2. Step 2: Convert to fraction form
    5,697.60/8,559.20 = 3,969.60/x
  3. Step 3: Cross multiply
    5,697.60x = 8,559.20 × 3,969.60
  4. Step 4: Simplify right side
    5,697.60x = 33,976,600.32
  5. Step 5: Solve for x
    x = 33,976,600.32/5,697.60
  6. Step 6: Final answer
    x = 5,963.32

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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.