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Finding the Fourth Proportional to 5,089.26, 7,640.37 and 4,324.62

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Solution

The fourth proportional to 5,089.26, 7,640.37 and 4,324.62 is: 6,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.26 : 7,640.37 = 4,324.62 : x
  2. Step 2: Convert to fraction form
    5,089.26/7,640.37 = 4,324.62/x
  3. Step 3: Cross multiply
    5,089.26x = 7,640.37 × 4,324.62
  4. Step 4: Simplify right side
    5,089.26x = 33,041,696.91
  5. Step 5: Solve for x
    x = 33,041,696.91/5,089.26
  6. Step 6: Final answer
    x = 6,492.44

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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.