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Finding the Fourth Proportional to 3,966.36, 5,949.85 and 1,044.63

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Solution

The fourth proportional to 3,966.36, 5,949.85 and 1,044.63 is: 1,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.36 : 5,949.85 = 1,044.63 : x
  2. Step 2: Convert to fraction form
    3,966.36/5,949.85 = 1,044.63/x
  3. Step 3: Cross multiply
    3,966.36x = 5,949.85 × 1,044.63
  4. Step 4: Simplify right side
    3,966.36x = 6,215,391.81
  5. Step 5: Solve for x
    x = 6,215,391.81/3,966.36
  6. Step 6: Final answer
    x = 1,567.03

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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.