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Finding the Fourth Proportional to 3,927.03, 5,891.37 and 1,153.47

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Solution

The fourth proportional to 3,927.03, 5,891.37 and 1,153.47 is: 1,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.03 : 5,891.37 = 1,153.47 : x
  2. Step 2: Convert to fraction form
    3,927.03/5,891.37 = 1,153.47/x
  3. Step 3: Cross multiply
    3,927.03x = 5,891.37 × 1,153.47
  4. Step 4: Simplify right side
    3,927.03x = 6,795,506.43
  5. Step 5: Solve for x
    x = 6,795,506.43/3,927.03
  6. Step 6: Final answer
    x = 1,730.44

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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.