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Finding the Fourth Proportional to 3,760.86, 5,642.25 and 2,383.98

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Solution

The fourth proportional to 3,760.86, 5,642.25 and 2,383.98 is: 3,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.86 : 5,642.25 = 2,383.98 : x
  2. Step 2: Convert to fraction form
    3,760.86/5,642.25 = 2,383.98/x
  3. Step 3: Cross multiply
    3,760.86x = 5,642.25 × 2,383.98
  4. Step 4: Simplify right side
    3,760.86x = 13,451,011.16
  5. Step 5: Solve for x
    x = 13,451,011.16/3,760.86
  6. Step 6: Final answer
    x = 3,576.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.