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Finding the Fourth Proportional to 4,597.14, 6,899.16 and 3,367.68

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Solution

The fourth proportional to 4,597.14, 6,899.16 and 3,367.68 is: 5,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.14 : 6,899.16 = 3,367.68 : x
  2. Step 2: Convert to fraction form
    4,597.14/6,899.16 = 3,367.68/x
  3. Step 3: Cross multiply
    4,597.14x = 6,899.16 × 3,367.68
  4. Step 4: Simplify right side
    4,597.14x = 23,234,163.15
  5. Step 5: Solve for x
    x = 23,234,163.15/4,597.14
  6. Step 6: Final answer
    x = 5,054.05

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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.