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Finding the Fourth Proportional to 4,471.44, 6,173.37 and 4,192.50

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Solution

The fourth proportional to 4,471.44, 6,173.37 and 4,192.50 is: 5,788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.44 : 6,173.37 = 4,192.50 : x
  2. Step 2: Convert to fraction form
    4,471.44/6,173.37 = 4,192.50/x
  3. Step 3: Cross multiply
    4,471.44x = 6,173.37 × 4,192.50
  4. Step 4: Simplify right side
    4,471.44x = 25,881,853.73
  5. Step 5: Solve for x
    x = 25,881,853.73/4,471.44
  6. Step 6: Final answer
    x = 5,788.26

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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.