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Finding the Fourth Proportional to 4,464.81, 6,697.82 and 1,867.14

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Solution

The fourth proportional to 4,464.81, 6,697.82 and 1,867.14 is: 2,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.81 : 6,697.82 = 1,867.14 : x
  2. Step 2: Convert to fraction form
    4,464.81/6,697.82 = 1,867.14/x
  3. Step 3: Cross multiply
    4,464.81x = 6,697.82 × 1,867.14
  4. Step 4: Simplify right side
    4,464.81x = 12,505,758.30
  5. Step 5: Solve for x
    x = 12,505,758.30/4,464.81
  6. Step 6: Final answer
    x = 2,800.96

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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.