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Finding the Fourth Proportional to 3,513.06, 4,847.94 and 1,941.12

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Solution

The fourth proportional to 3,513.06, 4,847.94 and 1,941.12 is: 2,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.06 : 4,847.94 = 1,941.12 : x
  2. Step 2: Convert to fraction form
    3,513.06/4,847.94 = 1,941.12/x
  3. Step 3: Cross multiply
    3,513.06x = 4,847.94 × 1,941.12
  4. Step 4: Simplify right side
    3,513.06x = 9,410,433.29
  5. Step 5: Solve for x
    x = 9,410,433.29/3,513.06
  6. Step 6: Final answer
    x = 2,678.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.