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Finding the Fourth Proportional to 5,891.71, 8,834.23 and 1,941.90

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Solution

The fourth proportional to 5,891.71, 8,834.23 and 1,941.90 is: 2,911.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.71 : 8,834.23 = 1,941.90 : x
  2. Step 2: Convert to fraction form
    5,891.71/8,834.23 = 1,941.90/x
  3. Step 3: Cross multiply
    5,891.71x = 8,834.23 × 1,941.90
  4. Step 4: Simplify right side
    5,891.71x = 17,155,159.44
  5. Step 5: Solve for x
    x = 17,155,159.44/5,891.71
  6. Step 6: Final answer
    x = 2,911.74

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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.