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Finding the Fourth Proportional to 3,965.34, 5,947.94 and 1,043.66

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Solution

The fourth proportional to 3,965.34, 5,947.94 and 1,043.66 is: 1,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.34 : 5,947.94 = 1,043.66 : x
  2. Step 2: Convert to fraction form
    3,965.34/5,947.94 = 1,043.66/x
  3. Step 3: Cross multiply
    3,965.34x = 5,947.94 × 1,043.66
  4. Step 4: Simplify right side
    3,965.34x = 6,207,627.06
  5. Step 5: Solve for x
    x = 6,207,627.06/3,965.34
  6. Step 6: Final answer
    x = 1,565.47

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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.