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Finding the Fourth Proportional to 5,393.84, 8,085 and 3,850.16

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Solution

The fourth proportional to 5,393.84, 8,085 and 3,850.16 is: 5,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.84 : 8,085 = 3,850.16 : x
  2. Step 2: Convert to fraction form
    5,393.84/8,085 = 3,850.16/x
  3. Step 3: Cross multiply
    5,393.84x = 8,085 × 3,850.16
  4. Step 4: Simplify right side
    5,393.84x = 31,128,543.60
  5. Step 5: Solve for x
    x = 31,128,543.60/5,393.84
  6. Step 6: Final answer
    x = 5,771.13

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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.