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Finding the Fourth Proportional to 5,610.77, 7,742.81 and 3,092.88

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Solution

The fourth proportional to 5,610.77, 7,742.81 and 3,092.88 is: 4,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.77 : 7,742.81 = 3,092.88 : x
  2. Step 2: Convert to fraction form
    5,610.77/7,742.81 = 3,092.88/x
  3. Step 3: Cross multiply
    5,610.77x = 7,742.81 × 3,092.88
  4. Step 4: Simplify right side
    5,610.77x = 23,947,618.96
  5. Step 5: Solve for x
    x = 23,947,618.96/5,610.77
  6. Step 6: Final answer
    x = 4,268.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.