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Finding the Fourth Proportional to 4,573.86, 6,863.43 and 1,941.17

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Solution

The fourth proportional to 4,573.86, 6,863.43 and 1,941.17 is: 2,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.86 : 6,863.43 = 1,941.17 : x
  2. Step 2: Convert to fraction form
    4,573.86/6,863.43 = 1,941.17/x
  3. Step 3: Cross multiply
    4,573.86x = 6,863.43 × 1,941.17
  4. Step 4: Simplify right side
    4,573.86x = 13,323,050.10
  5. Step 5: Solve for x
    x = 13,323,050.10/4,573.86
  6. Step 6: Final answer
    x = 2,912.87

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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.