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Finding the Fourth Proportional to 5,697.80, 8,544.13 and 2,409.20

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Solution

The fourth proportional to 5,697.80, 8,544.13 and 2,409.20 is: 3,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.80 : 8,544.13 = 2,409.20 : x
  2. Step 2: Convert to fraction form
    5,697.80/8,544.13 = 2,409.20/x
  3. Step 3: Cross multiply
    5,697.80x = 8,544.13 × 2,409.20
  4. Step 4: Simplify right side
    5,697.80x = 20,584,518.00
  5. Step 5: Solve for x
    x = 20,584,518.00/5,697.80
  6. Step 6: Final answer
    x = 3,612.71

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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.