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Finding the Fourth Proportional to 4,797.15, 7,186.14 and 3,811.64

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Solution

The fourth proportional to 4,797.15, 7,186.14 and 3,811.64 is: 5,709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.15 : 7,186.14 = 3,811.64 : x
  2. Step 2: Convert to fraction form
    4,797.15/7,186.14 = 3,811.64/x
  3. Step 3: Cross multiply
    4,797.15x = 7,186.14 × 3,811.64
  4. Step 4: Simplify right side
    4,797.15x = 27,390,942.74
  5. Step 5: Solve for x
    x = 27,390,942.74/4,797.15
  6. Step 6: Final answer
    x = 5,709.84

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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.