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Finding the Fourth Proportional to 5,872.74, 8,102.58 and 3,633.83

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Solution

The fourth proportional to 5,872.74, 8,102.58 and 3,633.83 is: 5,013.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.74 : 8,102.58 = 3,633.83 : x
  2. Step 2: Convert to fraction form
    5,872.74/8,102.58 = 3,633.83/x
  3. Step 3: Cross multiply
    5,872.74x = 8,102.58 × 3,633.83
  4. Step 4: Simplify right side
    5,872.74x = 29,443,357.77
  5. Step 5: Solve for x
    x = 29,443,357.77/5,872.74
  6. Step 6: Final answer
    x = 5,013.56

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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.