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Finding the Fourth Proportional to 4,100.93, 5,659.77 and 2,332.80

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Solution

The fourth proportional to 4,100.93, 5,659.77 and 2,332.80 is: 3,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.93 : 5,659.77 = 2,332.80 : x
  2. Step 2: Convert to fraction form
    4,100.93/5,659.77 = 2,332.80/x
  3. Step 3: Cross multiply
    4,100.93x = 5,659.77 × 2,332.80
  4. Step 4: Simplify right side
    4,100.93x = 13,203,120.20
  5. Step 5: Solve for x
    x = 13,203,120.20/4,100.93
  6. Step 6: Final answer
    x = 3,219.54

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