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Finding the Fourth Proportional to 4,473.44, 6,176.13 and 4,194.50

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Solution

The fourth proportional to 4,473.44, 6,176.13 and 4,194.50 is: 5,791.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.44 : 6,176.13 = 4,194.50 : x
  2. Step 2: Convert to fraction form
    4,473.44/6,176.13 = 4,194.50/x
  3. Step 3: Cross multiply
    4,473.44x = 6,176.13 × 4,194.50
  4. Step 4: Simplify right side
    4,473.44x = 25,905,777.29
  5. Step 5: Solve for x
    x = 25,905,777.29/4,473.44
  6. Step 6: Final answer
    x = 5,791.02

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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.