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Finding the Fourth Proportional to 5,071.24, 7,606.86 and 2,850.22

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Solution

The fourth proportional to 5,071.24, 7,606.86 and 2,850.22 is: 4,275.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.24 : 7,606.86 = 2,850.22 : x
  2. Step 2: Convert to fraction form
    5,071.24/7,606.86 = 2,850.22/x
  3. Step 3: Cross multiply
    5,071.24x = 7,606.86 × 2,850.22
  4. Step 4: Simplify right side
    5,071.24x = 21,681,224.51
  5. Step 5: Solve for x
    x = 21,681,224.51/5,071.24
  6. Step 6: Final answer
    x = 4,275.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.