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Finding the Fourth Proportional to 5,646.80, 8,469.18 and 3,019.56

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Solution

The fourth proportional to 5,646.80, 8,469.18 and 3,019.56 is: 4,528.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.80 : 8,469.18 = 3,019.56 : x
  2. Step 2: Convert to fraction form
    5,646.80/8,469.18 = 3,019.56/x
  3. Step 3: Cross multiply
    5,646.80x = 8,469.18 × 3,019.56
  4. Step 4: Simplify right side
    5,646.80x = 25,573,197.16
  5. Step 5: Solve for x
    x = 25,573,197.16/5,646.80
  6. Step 6: Final answer
    x = 4,528.80

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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.