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Finding the Fourth Proportional to 3,784.98, 5,223.33 and 2,106.48

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Solution

The fourth proportional to 3,784.98, 5,223.33 and 2,106.48 is: 2,906.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.98 : 5,223.33 = 2,106.48 : x
  2. Step 2: Convert to fraction form
    3,784.98/5,223.33 = 2,106.48/x
  3. Step 3: Cross multiply
    3,784.98x = 5,223.33 × 2,106.48
  4. Step 4: Simplify right side
    3,784.98x = 11,002,840.18
  5. Step 5: Solve for x
    x = 11,002,840.18/3,784.98
  6. Step 6: Final answer
    x = 2,906.97

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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.