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Finding the Fourth Proportional to 3,601.96, 4,968.26 and 2,274.54

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Solution

The fourth proportional to 3,601.96, 4,968.26 and 2,274.54 is: 3,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.96 : 4,968.26 = 2,274.54 : x
  2. Step 2: Convert to fraction form
    3,601.96/4,968.26 = 2,274.54/x
  3. Step 3: Cross multiply
    3,601.96x = 4,968.26 × 2,274.54
  4. Step 4: Simplify right side
    3,601.96x = 11,300,506.10
  5. Step 5: Solve for x
    x = 11,300,506.10/3,601.96
  6. Step 6: Final answer
    x = 3,137.32

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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.