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Finding the Fourth Proportional to 3,905.67, 5,849.29 and 3,389.88

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Solution

The fourth proportional to 3,905.67, 5,849.29 and 3,389.88 is: 5,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.67 : 5,849.29 = 3,389.88 : x
  2. Step 2: Convert to fraction form
    3,905.67/5,849.29 = 3,389.88/x
  3. Step 3: Cross multiply
    3,905.67x = 5,849.29 × 3,389.88
  4. Step 4: Simplify right side
    3,905.67x = 19,828,391.19
  5. Step 5: Solve for x
    x = 19,828,391.19/3,905.67
  6. Step 6: Final answer
    x = 5,076.82

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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.