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Finding the Fourth Proportional to 5,321.63, 7,343.84 and 3,084.80

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Solution

The fourth proportional to 5,321.63, 7,343.84 and 3,084.80 is: 4,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.63 : 7,343.84 = 3,084.80 : x
  2. Step 2: Convert to fraction form
    5,321.63/7,343.84 = 3,084.80/x
  3. Step 3: Cross multiply
    5,321.63x = 7,343.84 × 3,084.80
  4. Step 4: Simplify right side
    5,321.63x = 22,654,259.27
  5. Step 5: Solve for x
    x = 22,654,259.27/5,321.63
  6. Step 6: Final answer
    x = 4,257.02

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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.