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Finding the Fourth Proportional to 3,956.96, 5,935.48 and 1,035.23

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Solution

The fourth proportional to 3,956.96, 5,935.48 and 1,035.23 is: 1,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.96 : 5,935.48 = 1,035.23 : x
  2. Step 2: Convert to fraction form
    3,956.96/5,935.48 = 1,035.23/x
  3. Step 3: Cross multiply
    3,956.96x = 5,935.48 × 1,035.23
  4. Step 4: Simplify right side
    3,956.96x = 6,144,554.69
  5. Step 5: Solve for x
    x = 6,144,554.69/3,956.96
  6. Step 6: Final answer
    x = 1,552.85

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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.