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Finding the Fourth Proportional to 4,216.24, 6,308.52 and 3,994

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Solution

The fourth proportional to 4,216.24, 6,308.52 and 3,994 is: 5,975.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.24 : 6,308.52 = 3,994 : x
  2. Step 2: Convert to fraction form
    4,216.24/6,308.52 = 3,994/x
  3. Step 3: Cross multiply
    4,216.24x = 6,308.52 × 3,994
  4. Step 4: Simplify right side
    4,216.24x = 25,196,228.88
  5. Step 5: Solve for x
    x = 25,196,228.88/4,216.24
  6. Step 6: Final answer
    x = 5,975.99

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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.