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Finding the Fourth Proportional to 5,890.50, 8,132.91 and 3,653.28

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Solution

The fourth proportional to 5,890.50, 8,132.91 and 3,653.28 is: 5,044.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.50 : 8,132.91 = 3,653.28 : x
  2. Step 2: Convert to fraction form
    5,890.50/8,132.91 = 3,653.28/x
  3. Step 3: Cross multiply
    5,890.50x = 8,132.91 × 3,653.28
  4. Step 4: Simplify right side
    5,890.50x = 29,711,797.44
  5. Step 5: Solve for x
    x = 29,711,797.44/5,890.50
  6. Step 6: Final answer
    x = 5,044.02

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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.