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Finding the Fourth Proportional to 3,768.61, 5,200.20 and 2,090.01

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Solution

The fourth proportional to 3,768.61, 5,200.20 and 2,090.01 is: 2,883.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.61 : 5,200.20 = 2,090.01 : x
  2. Step 2: Convert to fraction form
    3,768.61/5,200.20 = 2,090.01/x
  3. Step 3: Cross multiply
    3,768.61x = 5,200.20 × 2,090.01
  4. Step 4: Simplify right side
    3,768.61x = 10,868,470.00
  5. Step 5: Solve for x
    x = 10,868,470.00/3,768.61
  6. Step 6: Final answer
    x = 2,883.95

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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.