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Finding the Fourth Proportional to 5,941.74, 8,912.25 and 1,559.19

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Solution

The fourth proportional to 5,941.74, 8,912.25 and 1,559.19 is: 2,338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.74 : 8,912.25 = 1,559.19 : x
  2. Step 2: Convert to fraction form
    5,941.74/8,912.25 = 1,559.19/x
  3. Step 3: Cross multiply
    5,941.74x = 8,912.25 × 1,559.19
  4. Step 4: Simplify right side
    5,941.74x = 13,895,891.08
  5. Step 5: Solve for x
    x = 13,895,891.08/5,941.74
  6. Step 6: Final answer
    x = 2,338.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.