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Finding the Fourth Proportional to 5,131.94, 7,696.19 and 1,668.38

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Solution

The fourth proportional to 5,131.94, 7,696.19 and 1,668.38 is: 2,502.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.94 : 7,696.19 = 1,668.38 : x
  2. Step 2: Convert to fraction form
    5,131.94/7,696.19 = 1,668.38/x
  3. Step 3: Cross multiply
    5,131.94x = 7,696.19 × 1,668.38
  4. Step 4: Simplify right side
    5,131.94x = 12,840,135.16
  5. Step 5: Solve for x
    x = 12,840,135.16/5,131.94
  6. Step 6: Final answer
    x = 2,502.01

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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.