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Finding the Fourth Proportional to 4,965.86, 7,448.78 and 1,268.09

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Solution

The fourth proportional to 4,965.86, 7,448.78 and 1,268.09 is: 1,902.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.86 : 7,448.78 = 1,268.09 : x
  2. Step 2: Convert to fraction form
    4,965.86/7,448.78 = 1,268.09/x
  3. Step 3: Cross multiply
    4,965.86x = 7,448.78 × 1,268.09
  4. Step 4: Simplify right side
    4,965.86x = 9,445,723.43
  5. Step 5: Solve for x
    x = 9,445,723.43/4,965.86
  6. Step 6: Final answer
    x = 1,902.13

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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.