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Finding the Fourth Proportional to 5,891.10, 8,834.64 and 1,729.94

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Solution

The fourth proportional to 5,891.10, 8,834.64 and 1,729.94 is: 2,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.10 : 8,834.64 = 1,729.94 : x
  2. Step 2: Convert to fraction form
    5,891.10/8,834.64 = 1,729.94/x
  3. Step 3: Cross multiply
    5,891.10x = 8,834.64 × 1,729.94
  4. Step 4: Simplify right side
    5,891.10x = 15,283,397.12
  5. Step 5: Solve for x
    x = 15,283,397.12/5,891.10
  6. Step 6: Final answer
    x = 2,594.32

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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.