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Finding the Fourth Proportional to 3,584.66, 5,364.23 and 3,000.24

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Solution

The fourth proportional to 3,584.66, 5,364.23 and 3,000.24 is: 4,489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.66 : 5,364.23 = 3,000.24 : x
  2. Step 2: Convert to fraction form
    3,584.66/5,364.23 = 3,000.24/x
  3. Step 3: Cross multiply
    3,584.66x = 5,364.23 × 3,000.24
  4. Step 4: Simplify right side
    3,584.66x = 16,093,962.41
  5. Step 5: Solve for x
    x = 16,093,962.41/3,584.66
  6. Step 6: Final answer
    x = 4,489.68

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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.