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Finding the Fourth Proportional to 5,843.53, 8,064.10 and 3,191

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Solution

The fourth proportional to 5,843.53, 8,064.10 and 3,191 is: 4,403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.53 : 8,064.10 = 3,191 : x
  2. Step 2: Convert to fraction form
    5,843.53/8,064.10 = 3,191/x
  3. Step 3: Cross multiply
    5,843.53x = 8,064.10 × 3,191
  4. Step 4: Simplify right side
    5,843.53x = 25,732,543.10
  5. Step 5: Solve for x
    x = 25,732,543.10/5,843.53
  6. Step 6: Final answer
    x = 4,403.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.