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Finding the Fourth Proportional to 4,643.90, 6,951.27 and 3,466.88

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Solution

The fourth proportional to 4,643.90, 6,951.27 and 3,466.88 is: 5,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.90 : 6,951.27 = 3,466.88 : x
  2. Step 2: Convert to fraction form
    4,643.90/6,951.27 = 3,466.88/x
  3. Step 3: Cross multiply
    4,643.90x = 6,951.27 × 3,466.88
  4. Step 4: Simplify right side
    4,643.90x = 24,099,218.94
  5. Step 5: Solve for x
    x = 24,099,218.94/4,643.90
  6. Step 6: Final answer
    x = 5,189.44

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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.