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Finding the Fourth Proportional to 4,349.90, 6,509.26 and 3,766.94

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Solution

The fourth proportional to 4,349.90, 6,509.26 and 3,766.94 is: 5,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.90 : 6,509.26 = 3,766.94 : x
  2. Step 2: Convert to fraction form
    4,349.90/6,509.26 = 3,766.94/x
  3. Step 3: Cross multiply
    4,349.90x = 6,509.26 × 3,766.94
  4. Step 4: Simplify right side
    4,349.90x = 24,519,988.44
  5. Step 5: Solve for x
    x = 24,519,988.44/4,349.90
  6. Step 6: Final answer
    x = 5,636.91

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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.