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Finding the Fourth Proportional to 3,902.96, 5,854.44 and 3,093.77

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Solution

The fourth proportional to 3,902.96, 5,854.44 and 3,093.77 is: 4,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.96 : 5,854.44 = 3,093.77 : x
  2. Step 2: Convert to fraction form
    3,902.96/5,854.44 = 3,093.77/x
  3. Step 3: Cross multiply
    3,902.96x = 5,854.44 × 3,093.77
  4. Step 4: Simplify right side
    3,902.96x = 18,112,290.84
  5. Step 5: Solve for x
    x = 18,112,290.84/3,902.96
  6. Step 6: Final answer
    x = 4,640.66

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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.