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Finding the Fourth Proportional to 4,969.40, 7,451.27 and 2,044.22

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Solution

The fourth proportional to 4,969.40, 7,451.27 and 2,044.22 is: 3,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.40 : 7,451.27 = 2,044.22 : x
  2. Step 2: Convert to fraction form
    4,969.40/7,451.27 = 2,044.22/x
  3. Step 3: Cross multiply
    4,969.40x = 7,451.27 × 2,044.22
  4. Step 4: Simplify right side
    4,969.40x = 15,232,024.94
  5. Step 5: Solve for x
    x = 15,232,024.94/4,969.40
  6. Step 6: Final answer
    x = 3,065.16

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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.