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Finding the Fourth Proportional to 5,114.80, 7,668.15 and 2,190.70

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Solution

The fourth proportional to 5,114.80, 7,668.15 and 2,190.70 is: 3,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.80 : 7,668.15 = 2,190.70 : x
  2. Step 2: Convert to fraction form
    5,114.80/7,668.15 = 2,190.70/x
  3. Step 3: Cross multiply
    5,114.80x = 7,668.15 × 2,190.70
  4. Step 4: Simplify right side
    5,114.80x = 16,798,616.21
  5. Step 5: Solve for x
    x = 16,798,616.21/5,114.80
  6. Step 6: Final answer
    x = 3,284.32

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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.