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Finding the Fourth Proportional to 3,643.13, 5,027.52 and 2,071.32

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Solution

The fourth proportional to 3,643.13, 5,027.52 and 2,071.32 is: 2,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.13 : 5,027.52 = 2,071.32 : x
  2. Step 2: Convert to fraction form
    3,643.13/5,027.52 = 2,071.32/x
  3. Step 3: Cross multiply
    3,643.13x = 5,027.52 × 2,071.32
  4. Step 4: Simplify right side
    3,643.13x = 10,413,602.73
  5. Step 5: Solve for x
    x = 10,413,602.73/3,643.13
  6. Step 6: Final answer
    x = 2,858.42

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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.