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Finding the Fourth Proportional to 3,662.27, 5,053.95 and 2,090.46

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Solution

The fourth proportional to 3,662.27, 5,053.95 and 2,090.46 is: 2,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.27 : 5,053.95 = 2,090.46 : x
  2. Step 2: Convert to fraction form
    3,662.27/5,053.95 = 2,090.46/x
  3. Step 3: Cross multiply
    3,662.27x = 5,053.95 × 2,090.46
  4. Step 4: Simplify right side
    3,662.27x = 10,565,080.32
  5. Step 5: Solve for x
    x = 10,565,080.32/3,662.27
  6. Step 6: Final answer
    x = 2,884.85

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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.