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Finding the Fourth Proportional to 3,186.54, 4,396.92 and 1,823.70

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Solution

The fourth proportional to 3,186.54, 4,396.92 and 1,823.70 is: 2,516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.54 : 4,396.92 = 1,823.70 : x
  2. Step 2: Convert to fraction form
    3,186.54/4,396.92 = 1,823.70/x
  3. Step 3: Cross multiply
    3,186.54x = 4,396.92 × 1,823.70
  4. Step 4: Simplify right side
    3,186.54x = 8,018,663.00
  5. Step 5: Solve for x
    x = 8,018,663.00/3,186.54
  6. Step 6: Final answer
    x = 2,516.42

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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.