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Finding the Fourth Proportional to 3,971.54, 5,956.84 and 1,050.07

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Solution

The fourth proportional to 3,971.54, 5,956.84 and 1,050.07 is: 1,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.54 : 5,956.84 = 1,050.07 : x
  2. Step 2: Convert to fraction form
    3,971.54/5,956.84 = 1,050.07/x
  3. Step 3: Cross multiply
    3,971.54x = 5,956.84 × 1,050.07
  4. Step 4: Simplify right side
    3,971.54x = 6,255,063.94
  5. Step 5: Solve for x
    x = 6,255,063.94/3,971.54
  6. Step 6: Final answer
    x = 1,574.97

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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.