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Finding the Fourth Proportional to 5,960.68, 8,941.74 and 1,578.22

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Solution

The fourth proportional to 5,960.68, 8,941.74 and 1,578.22 is: 2,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.68 : 8,941.74 = 1,578.22 : x
  2. Step 2: Convert to fraction form
    5,960.68/8,941.74 = 1,578.22/x
  3. Step 3: Cross multiply
    5,960.68x = 8,941.74 × 1,578.22
  4. Step 4: Simplify right side
    5,960.68x = 14,112,032.90
  5. Step 5: Solve for x
    x = 14,112,032.90/5,960.68
  6. Step 6: Final answer
    x = 2,367.52

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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.