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Finding the Fourth Proportional to 3,224.69, 4,835.60 and 1,559.63

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Solution

The fourth proportional to 3,224.69, 4,835.60 and 1,559.63 is: 2,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.69 : 4,835.60 = 1,559.63 : x
  2. Step 2: Convert to fraction form
    3,224.69/4,835.60 = 1,559.63/x
  3. Step 3: Cross multiply
    3,224.69x = 4,835.60 × 1,559.63
  4. Step 4: Simplify right side
    3,224.69x = 7,541,756.97
  5. Step 5: Solve for x
    x = 7,541,756.97/3,224.69
  6. Step 6: Final answer
    x = 2,338.76

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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.