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Finding the Fourth Proportional to 3,965.88, 5,947.02 and 1,368.12

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Solution

The fourth proportional to 3,965.88, 5,947.02 and 1,368.12 is: 2,051.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.88 : 5,947.02 = 1,368.12 : x
  2. Step 2: Convert to fraction form
    3,965.88/5,947.02 = 1,368.12/x
  3. Step 3: Cross multiply
    3,965.88x = 5,947.02 × 1,368.12
  4. Step 4: Simplify right side
    3,965.88x = 8,136,237.00
  5. Step 5: Solve for x
    x = 8,136,237.00/3,965.88
  6. Step 6: Final answer
    x = 2,051.56

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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.