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Finding the Fourth Proportional to 5,104.16, 7,656.86 and 3,789.54

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Solution

The fourth proportional to 5,104.16, 7,656.86 and 3,789.54 is: 5,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.16 : 7,656.86 = 3,789.54 : x
  2. Step 2: Convert to fraction form
    5,104.16/7,656.86 = 3,789.54/x
  3. Step 3: Cross multiply
    5,104.16x = 7,656.86 × 3,789.54
  4. Step 4: Simplify right side
    5,104.16x = 29,015,977.24
  5. Step 5: Solve for x
    x = 29,015,977.24/5,104.16
  6. Step 6: Final answer
    x = 5,684.77

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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.