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Finding the Fourth Proportional to 5,213.23, 7,813.54 and 3,644.66

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Solution

The fourth proportional to 5,213.23, 7,813.54 and 3,644.66 is: 5,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.23 : 7,813.54 = 3,644.66 : x
  2. Step 2: Convert to fraction form
    5,213.23/7,813.54 = 3,644.66/x
  3. Step 3: Cross multiply
    5,213.23x = 7,813.54 × 3,644.66
  4. Step 4: Simplify right side
    5,213.23x = 28,477,696.70
  5. Step 5: Solve for x
    x = 28,477,696.70/5,213.23
  6. Step 6: Final answer
    x = 5,462.58

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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.