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Finding the Fourth Proportional to 5,114.07, 7,668 and 3,336.46

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Solution

The fourth proportional to 5,114.07, 7,668 and 3,336.46 is: 5,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.07 : 7,668 = 3,336.46 : x
  2. Step 2: Convert to fraction form
    5,114.07/7,668 = 3,336.46/x
  3. Step 3: Cross multiply
    5,114.07x = 7,668 × 3,336.46
  4. Step 4: Simplify right side
    5,114.07x = 25,583,936.94
  5. Step 5: Solve for x
    x = 25,583,936.94/5,114.07
  6. Step 6: Final answer
    x = 5,002.66

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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.