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Finding the Fourth Proportional to 4,576.74, 6,311.28 and 3,734.74

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Solution

The fourth proportional to 4,576.74, 6,311.28 and 3,734.74 is: 5,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.74 : 6,311.28 = 3,734.74 : x
  2. Step 2: Convert to fraction form
    4,576.74/6,311.28 = 3,734.74/x
  3. Step 3: Cross multiply
    4,576.74x = 6,311.28 × 3,734.74
  4. Step 4: Simplify right side
    4,576.74x = 23,570,989.87
  5. Step 5: Solve for x
    x = 23,570,989.87/4,576.74
  6. Step 6: Final answer
    x = 5,150.17

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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.