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Finding the Fourth Proportional to 3,837.66, 5,296.23 and 3,314.94

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Solution

The fourth proportional to 3,837.66, 5,296.23 and 3,314.94 is: 4,574.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.66 : 5,296.23 = 3,314.94 : x
  2. Step 2: Convert to fraction form
    3,837.66/5,296.23 = 3,314.94/x
  3. Step 3: Cross multiply
    3,837.66x = 5,296.23 × 3,314.94
  4. Step 4: Simplify right side
    3,837.66x = 17,556,684.68
  5. Step 5: Solve for x
    x = 17,556,684.68/3,837.66
  6. Step 6: Final answer
    x = 4,574.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.