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Finding the Fourth Proportional to 3,684.78, 5,086.42 and 2,359.20

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Solution

The fourth proportional to 3,684.78, 5,086.42 and 2,359.20 is: 3,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.78 : 5,086.42 = 2,359.20 : x
  2. Step 2: Convert to fraction form
    3,684.78/5,086.42 = 2,359.20/x
  3. Step 3: Cross multiply
    3,684.78x = 5,086.42 × 2,359.20
  4. Step 4: Simplify right side
    3,684.78x = 11,999,882.06
  5. Step 5: Solve for x
    x = 11,999,882.06/3,684.78
  6. Step 6: Final answer
    x = 3,256.61

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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.