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Finding the Fourth Proportional to 7,197.64, 10,802.22 and 3,735.88

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Solution

The fourth proportional to 7,197.64, 10,802.22 and 3,735.88 is: 5,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.64 : 10,802.22 = 3,735.88 : x
  2. Step 2: Convert to fraction form
    7,197.64/10,802.22 = 3,735.88/x
  3. Step 3: Cross multiply
    7,197.64x = 10,802.22 × 3,735.88
  4. Step 4: Simplify right side
    7,197.64x = 40,355,797.65
  5. Step 5: Solve for x
    x = 40,355,797.65/7,197.64
  6. Step 6: Final answer
    x = 5,606.81

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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.