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Finding the Fourth Proportional to 3,784.51, 5,222.23 and 2,105.92

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Solution

The fourth proportional to 3,784.51, 5,222.23 and 2,105.92 is: 2,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.51 : 5,222.23 = 2,105.92 : x
  2. Step 2: Convert to fraction form
    3,784.51/5,222.23 = 2,105.92/x
  3. Step 3: Cross multiply
    3,784.51x = 5,222.23 × 2,105.92
  4. Step 4: Simplify right side
    3,784.51x = 10,997,598.60
  5. Step 5: Solve for x
    x = 10,997,598.60/3,784.51
  6. Step 6: Final answer
    x = 2,905.95

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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.