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Finding the Fourth Proportional to 3,664.64, 5,057.34 and 2,071.37

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Solution

The fourth proportional to 3,664.64, 5,057.34 and 2,071.37 is: 2,858.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.64 : 5,057.34 = 2,071.37 : x
  2. Step 2: Convert to fraction form
    3,664.64/5,057.34 = 2,071.37/x
  3. Step 3: Cross multiply
    3,664.64x = 5,057.34 × 2,071.37
  4. Step 4: Simplify right side
    3,664.64x = 10,475,627.23
  5. Step 5: Solve for x
    x = 10,475,627.23/3,664.64
  6. Step 6: Final answer
    x = 2,858.57

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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.