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Finding the Fourth Proportional to 4,946.97, 7,420.44 and 1,249.49

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Solution

The fourth proportional to 4,946.97, 7,420.44 and 1,249.49 is: 1,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.97 : 7,420.44 = 1,249.49 : x
  2. Step 2: Convert to fraction form
    4,946.97/7,420.44 = 1,249.49/x
  3. Step 3: Cross multiply
    4,946.97x = 7,420.44 × 1,249.49
  4. Step 4: Simplify right side
    4,946.97x = 9,271,728.47
  5. Step 5: Solve for x
    x = 9,271,728.47/4,946.97
  6. Step 6: Final answer
    x = 1,874.22

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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.