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Finding the Fourth Proportional to 4,100.82, 5,659.62 and 2,332.58

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Solution

The fourth proportional to 4,100.82, 5,659.62 and 2,332.58 is: 3,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.82 : 5,659.62 = 2,332.58 : x
  2. Step 2: Convert to fraction form
    4,100.82/5,659.62 = 2,332.58/x
  3. Step 3: Cross multiply
    4,100.82x = 5,659.62 × 2,332.58
  4. Step 4: Simplify right side
    4,100.82x = 13,201,516.42
  5. Step 5: Solve for x
    x = 13,201,516.42/4,100.82
  6. Step 6: Final answer
    x = 3,219.24

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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.