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Finding the Fourth Proportional to 3,584.36, 5,375.74 and 1,506.71

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Solution

The fourth proportional to 3,584.36, 5,375.74 and 1,506.71 is: 2,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.36 : 5,375.74 = 1,506.71 : x
  2. Step 2: Convert to fraction form
    3,584.36/5,375.74 = 1,506.71/x
  3. Step 3: Cross multiply
    3,584.36x = 5,375.74 × 1,506.71
  4. Step 4: Simplify right side
    3,584.36x = 8,099,690.89
  5. Step 5: Solve for x
    x = 8,099,690.89/3,584.36
  6. Step 6: Final answer
    x = 2,259.73

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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.