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Finding the Fourth Proportional to 4,071.71, 6,094.20 and 3,092.42

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Solution

The fourth proportional to 4,071.71, 6,094.20 and 3,092.42 is: 4,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.71 : 6,094.20 = 3,092.42 : x
  2. Step 2: Convert to fraction form
    4,071.71/6,094.20 = 3,092.42/x
  3. Step 3: Cross multiply
    4,071.71x = 6,094.20 × 3,092.42
  4. Step 4: Simplify right side
    4,071.71x = 18,845,825.96
  5. Step 5: Solve for x
    x = 18,845,825.96/4,071.71
  6. Step 6: Final answer
    x = 4,628.48

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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.