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Finding the Fourth Proportional to 3,965.83, 5,948.40 and 1,625.16

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Solution

The fourth proportional to 3,965.83, 5,948.40 and 1,625.16 is: 2,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.83 : 5,948.40 = 1,625.16 : x
  2. Step 2: Convert to fraction form
    3,965.83/5,948.40 = 1,625.16/x
  3. Step 3: Cross multiply
    3,965.83x = 5,948.40 × 1,625.16
  4. Step 4: Simplify right side
    3,965.83x = 9,667,120.68
  5. Step 5: Solve for x
    x = 9,667,120.68/3,965.83
  6. Step 6: Final answer
    x = 2,437.60

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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.