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Finding the Fourth Proportional to 3,643.31, 5,027.59 and 2,071.37

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Solution

The fourth proportional to 3,643.31, 5,027.59 and 2,071.37 is: 2,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.31 : 5,027.59 = 2,071.37 : x
  2. Step 2: Convert to fraction form
    3,643.31/5,027.59 = 2,071.37/x
  3. Step 3: Cross multiply
    3,643.31x = 5,027.59 × 2,071.37
  4. Step 4: Simplify right side
    3,643.31x = 10,413,999.10
  5. Step 5: Solve for x
    x = 10,413,999.10/3,643.31
  6. Step 6: Final answer
    x = 2,858.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.