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Finding the Fourth Proportional to 3,902.58, 5,845.77 and 1,950.75

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Solution

The fourth proportional to 3,902.58, 5,845.77 and 1,950.75 is: 2,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.58 : 5,845.77 = 1,950.75 : x
  2. Step 2: Convert to fraction form
    3,902.58/5,845.77 = 1,950.75/x
  3. Step 3: Cross multiply
    3,902.58x = 5,845.77 × 1,950.75
  4. Step 4: Simplify right side
    3,902.58x = 11,403,635.83
  5. Step 5: Solve for x
    x = 11,403,635.83/3,902.58
  6. Step 6: Final answer
    x = 2,922.08

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1.5x scale

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.