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Finding the Fourth Proportional to 3,784.86, 5,223.03 and 2,106.21

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Solution

The fourth proportional to 3,784.86, 5,223.03 and 2,106.21 is: 2,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.86 : 5,223.03 = 2,106.21 : x
  2. Step 2: Convert to fraction form
    3,784.86/5,223.03 = 2,106.21/x
  3. Step 3: Cross multiply
    3,784.86x = 5,223.03 × 2,106.21
  4. Step 4: Simplify right side
    3,784.86x = 11,000,798.02
  5. Step 5: Solve for x
    x = 11,000,798.02/3,784.86
  6. Step 6: Final answer
    x = 2,906.53

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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.