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Finding the Fourth Proportional to 3,186.53, 4,396.92 and 1,823.69

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Solution

The fourth proportional to 3,186.53, 4,396.92 and 1,823.69 is: 2,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.53 : 4,396.92 = 1,823.69 : x
  2. Step 2: Convert to fraction form
    3,186.53/4,396.92 = 1,823.69/x
  3. Step 3: Cross multiply
    3,186.53x = 4,396.92 × 1,823.69
  4. Step 4: Simplify right side
    3,186.53x = 8,018,619.03
  5. Step 5: Solve for x
    x = 8,018,619.03/3,186.53
  6. Step 6: Final answer
    x = 2,516.41

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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.