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Finding the Fourth Proportional to 5,561.60, 8,344.80 and 2,825.60

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Solution

The fourth proportional to 5,561.60, 8,344.80 and 2,825.60 is: 4,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,561.60 : 8,344.80 = 2,825.60 : x
  2. Step 2: Convert to fraction form
    5,561.60/8,344.80 = 2,825.60/x
  3. Step 3: Cross multiply
    5,561.60x = 8,344.80 × 2,825.60
  4. Step 4: Simplify right side
    5,561.60x = 23,579,066.88
  5. Step 5: Solve for x
    x = 23,579,066.88/5,561.60
  6. Step 6: Final answer
    x = 4,239.62

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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.