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Finding the Fourth Proportional to 5,213.61, 7,194.74 and 2,823.55

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Solution

The fourth proportional to 5,213.61, 7,194.74 and 2,823.55 is: 3,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.61 : 7,194.74 = 2,823.55 : x
  2. Step 2: Convert to fraction form
    5,213.61/7,194.74 = 2,823.55/x
  3. Step 3: Cross multiply
    5,213.61x = 7,194.74 × 2,823.55
  4. Step 4: Simplify right side
    5,213.61x = 20,314,708.13
  5. Step 5: Solve for x
    x = 20,314,708.13/5,213.61
  6. Step 6: Final answer
    x = 3,896.48

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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.