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Finding the Fourth Proportional to 3,784.72, 5,223.06 and 2,106.06

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Solution

The fourth proportional to 3,784.72, 5,223.06 and 2,106.06 is: 2,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.72 : 5,223.06 = 2,106.06 : x
  2. Step 2: Convert to fraction form
    3,784.72/5,223.06 = 2,106.06/x
  3. Step 3: Cross multiply
    3,784.72x = 5,223.06 × 2,106.06
  4. Step 4: Simplify right side
    3,784.72x = 11,000,077.74
  5. Step 5: Solve for x
    x = 11,000,077.74/3,784.72
  6. Step 6: Final answer
    x = 2,906.44

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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.