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Finding the Fourth Proportional to 3,969.12, 5,953.10 and 1,047.63

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Solution

The fourth proportional to 3,969.12, 5,953.10 and 1,047.63 is: 1,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.12 : 5,953.10 = 1,047.63 : x
  2. Step 2: Convert to fraction form
    3,969.12/5,953.10 = 1,047.63/x
  3. Step 3: Cross multiply
    3,969.12x = 5,953.10 × 1,047.63
  4. Step 4: Simplify right side
    3,969.12x = 6,236,640.91
  5. Step 5: Solve for x
    x = 6,236,640.91/3,969.12
  6. Step 6: Final answer
    x = 1,571.29

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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.