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Finding the Fourth Proportional to 3,964.98, 5,947.48 and 1,191.66

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Solution

The fourth proportional to 3,964.98, 5,947.48 and 1,191.66 is: 1,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.98 : 5,947.48 = 1,191.66 : x
  2. Step 2: Convert to fraction form
    3,964.98/5,947.48 = 1,191.66/x
  3. Step 3: Cross multiply
    3,964.98x = 5,947.48 × 1,191.66
  4. Step 4: Simplify right side
    3,964.98x = 7,087,374.02
  5. Step 5: Solve for x
    x = 7,087,374.02/3,964.98
  6. Step 6: Final answer
    x = 1,787.49

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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.