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Finding the Fourth Proportional to 3,584.07, 5,376.24 and 1,634.94

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Solution

The fourth proportional to 3,584.07, 5,376.24 and 1,634.94 is: 2,452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.07 : 5,376.24 = 1,634.94 : x
  2. Step 2: Convert to fraction form
    3,584.07/5,376.24 = 1,634.94/x
  3. Step 3: Cross multiply
    3,584.07x = 5,376.24 × 1,634.94
  4. Step 4: Simplify right side
    3,584.07x = 8,789,829.83
  5. Step 5: Solve for x
    x = 8,789,829.83/3,584.07
  6. Step 6: Final answer
    x = 2,452.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.