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Finding the Fourth Proportional to 5,050.50, 6,969.72 and 2,954.22

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Solution

The fourth proportional to 5,050.50, 6,969.72 and 2,954.22 is: 4,076.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050.50 : 6,969.72 = 2,954.22 : x
  2. Step 2: Convert to fraction form
    5,050.50/6,969.72 = 2,954.22/x
  3. Step 3: Cross multiply
    5,050.50x = 6,969.72 × 2,954.22
  4. Step 4: Simplify right side
    5,050.50x = 20,590,086.22
  5. Step 5: Solve for x
    x = 20,590,086.22/5,050.50
  6. Step 6: Final answer
    x = 4,076.84

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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.