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Finding the Fourth Proportional to 3,513.16, 5,269.74 and 1,047.97

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Solution

The fourth proportional to 3,513.16, 5,269.74 and 1,047.97 is: 1,571.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.16 : 5,269.74 = 1,047.97 : x
  2. Step 2: Convert to fraction form
    3,513.16/5,269.74 = 1,047.97/x
  3. Step 3: Cross multiply
    3,513.16x = 5,269.74 × 1,047.97
  4. Step 4: Simplify right side
    3,513.16x = 5,522,529.43
  5. Step 5: Solve for x
    x = 5,522,529.43/3,513.16
  6. Step 6: Final answer
    x = 1,571.96

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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.