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Finding the Fourth Proportional to 5,131.80, 7,697.70 and 1,669.40

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Solution

The fourth proportional to 5,131.80, 7,697.70 and 1,669.40 is: 2,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.80 : 7,697.70 = 1,669.40 : x
  2. Step 2: Convert to fraction form
    5,131.80/7,697.70 = 1,669.40/x
  3. Step 3: Cross multiply
    5,131.80x = 7,697.70 × 1,669.40
  4. Step 4: Simplify right side
    5,131.80x = 12,850,540.38
  5. Step 5: Solve for x
    x = 12,850,540.38/5,131.80
  6. Step 6: Final answer
    x = 2,504.10

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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.