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Finding the Fourth Proportional to 5,729.22, 8,584.11 and 5,184.90

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Solution

The fourth proportional to 5,729.22, 8,584.11 and 5,184.90 is: 7,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.22 : 8,584.11 = 5,184.90 : x
  2. Step 2: Convert to fraction form
    5,729.22/8,584.11 = 5,184.90/x
  3. Step 3: Cross multiply
    5,729.22x = 8,584.11 × 5,184.90
  4. Step 4: Simplify right side
    5,729.22x = 44,507,751.94
  5. Step 5: Solve for x
    x = 44,507,751.94/5,729.22
  6. Step 6: Final answer
    x = 7,768.55

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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.