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Finding the Fourth Proportional to 5,168.22, 7,129.85 and 3,071.13

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Solution

The fourth proportional to 5,168.22, 7,129.85 and 3,071.13 is: 4,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.22 : 7,129.85 = 3,071.13 : x
  2. Step 2: Convert to fraction form
    5,168.22/7,129.85 = 3,071.13/x
  3. Step 3: Cross multiply
    5,168.22x = 7,129.85 × 3,071.13
  4. Step 4: Simplify right side
    5,168.22x = 21,896,696.23
  5. Step 5: Solve for x
    x = 21,896,696.23/5,168.22
  6. Step 6: Final answer
    x = 4,236.80

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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.