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Finding the Fourth Proportional to 3,965.25, 5,947.87 and 1,655.13

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Solution

The fourth proportional to 3,965.25, 5,947.87 and 1,655.13 is: 2,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.25 : 5,947.87 = 1,655.13 : x
  2. Step 2: Convert to fraction form
    3,965.25/5,947.87 = 1,655.13/x
  3. Step 3: Cross multiply
    3,965.25x = 5,947.87 × 1,655.13
  4. Step 4: Simplify right side
    3,965.25x = 9,844,498.07
  5. Step 5: Solve for x
    x = 9,844,498.07/3,965.25
  6. Step 6: Final answer
    x = 2,482.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.