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Finding the Fourth Proportional to 4,048.84, 6,072.56 and 1,127.44

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Solution

The fourth proportional to 4,048.84, 6,072.56 and 1,127.44 is: 1,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,048.84 : 6,072.56 = 1,127.44 : x
  2. Step 2: Convert to fraction form
    4,048.84/6,072.56 = 1,127.44/x
  3. Step 3: Cross multiply
    4,048.84x = 6,072.56 × 1,127.44
  4. Step 4: Simplify right side
    4,048.84x = 6,846,447.05
  5. Step 5: Solve for x
    x = 6,846,447.05/4,048.84
  6. Step 6: Final answer
    x = 1,690.97

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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.