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Finding the Fourth Proportional to 3,688.52, 5,090.18 and 2,009.97

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Solution

The fourth proportional to 3,688.52, 5,090.18 and 2,009.97 is: 2,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.52 : 5,090.18 = 2,009.97 : x
  2. Step 2: Convert to fraction form
    3,688.52/5,090.18 = 2,009.97/x
  3. Step 3: Cross multiply
    3,688.52x = 5,090.18 × 2,009.97
  4. Step 4: Simplify right side
    3,688.52x = 10,231,114.12
  5. Step 5: Solve for x
    x = 10,231,114.12/3,688.52
  6. Step 6: Final answer
    x = 2,773.77

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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.