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Finding the Fourth Proportional to 3,937.05, 5,905.08 and 1,015.23

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Solution

The fourth proportional to 3,937.05, 5,905.08 and 1,015.23 is: 1,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.05 : 5,905.08 = 1,015.23 : x
  2. Step 2: Convert to fraction form
    3,937.05/5,905.08 = 1,015.23/x
  3. Step 3: Cross multiply
    3,937.05x = 5,905.08 × 1,015.23
  4. Step 4: Simplify right side
    3,937.05x = 5,995,014.37
  5. Step 5: Solve for x
    x = 5,995,014.37/3,937.05
  6. Step 6: Final answer
    x = 1,522.72

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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.