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Finding the Fourth Proportional to 3,969.10, 5,953.74 and 1,047.70

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Solution

The fourth proportional to 3,969.10, 5,953.74 and 1,047.70 is: 1,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.10 : 5,953.74 = 1,047.70 : x
  2. Step 2: Convert to fraction form
    3,969.10/5,953.74 = 1,047.70/x
  3. Step 3: Cross multiply
    3,969.10x = 5,953.74 × 1,047.70
  4. Step 4: Simplify right side
    3,969.10x = 6,237,733.40
  5. Step 5: Solve for x
    x = 6,237,733.40/3,969.10
  6. Step 6: Final answer
    x = 1,571.57

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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.