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Finding the Fourth Proportional to 5,844.25, 8,065.08 and 3,748.38

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Solution

The fourth proportional to 5,844.25, 8,065.08 and 3,748.38 is: 5,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.25 : 8,065.08 = 3,748.38 : x
  2. Step 2: Convert to fraction form
    5,844.25/8,065.08 = 3,748.38/x
  3. Step 3: Cross multiply
    5,844.25x = 8,065.08 × 3,748.38
  4. Step 4: Simplify right side
    5,844.25x = 30,230,984.57
  5. Step 5: Solve for x
    x = 30,230,984.57/5,844.25
  6. Step 6: Final answer
    x = 5,172.77

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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.