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Finding the Fourth Proportional to 6,216.14, 8,578.32 and 3,421.64

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Solution

The fourth proportional to 6,216.14, 8,578.32 and 3,421.64 is: 4,721.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.14 : 8,578.32 = 3,421.64 : x
  2. Step 2: Convert to fraction form
    6,216.14/8,578.32 = 3,421.64/x
  3. Step 3: Cross multiply
    6,216.14x = 8,578.32 × 3,421.64
  4. Step 4: Simplify right side
    6,216.14x = 29,351,922.84
  5. Step 5: Solve for x
    x = 29,351,922.84/6,216.14
  6. Step 6: Final answer
    x = 4,721.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.