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Finding the Fourth Proportional to 3,344.45, 5,013.14 and 1,783.49

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Solution

The fourth proportional to 3,344.45, 5,013.14 and 1,783.49 is: 2,673.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.45 : 5,013.14 = 1,783.49 : x
  2. Step 2: Convert to fraction form
    3,344.45/5,013.14 = 1,783.49/x
  3. Step 3: Cross multiply
    3,344.45x = 5,013.14 × 1,783.49
  4. Step 4: Simplify right side
    3,344.45x = 8,940,851.08
  5. Step 5: Solve for x
    x = 8,940,851.08/3,344.45
  6. Step 6: Final answer
    x = 2,673.34

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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.