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Finding the Fourth Proportional to 6,469.85, 8,928.04 and 3,637.34

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Solution

The fourth proportional to 6,469.85, 8,928.04 and 3,637.34 is: 5,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.85 : 8,928.04 = 3,637.34 : x
  2. Step 2: Convert to fraction form
    6,469.85/8,928.04 = 3,637.34/x
  3. Step 3: Cross multiply
    6,469.85x = 8,928.04 × 3,637.34
  4. Step 4: Simplify right side
    6,469.85x = 32,474,317.01
  5. Step 5: Solve for x
    x = 32,474,317.01/6,469.85
  6. Step 6: Final answer
    x = 5,019.33

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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.