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Finding the Fourth Proportional to 4,662.12, 6,987.68 and 2,321.44

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Solution

The fourth proportional to 4,662.12, 6,987.68 and 2,321.44 is: 3,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.12 : 6,987.68 = 2,321.44 : x
  2. Step 2: Convert to fraction form
    4,662.12/6,987.68 = 2,321.44/x
  3. Step 3: Cross multiply
    4,662.12x = 6,987.68 × 2,321.44
  4. Step 4: Simplify right side
    4,662.12x = 16,221,479.86
  5. Step 5: Solve for x
    x = 16,221,479.86/4,662.12
  6. Step 6: Final answer
    x = 3,479.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.