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Finding the Fourth Proportional to 3,685.34, 5,084.99 and 2,341.34

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Solution

The fourth proportional to 3,685.34, 5,084.99 and 2,341.34 is: 3,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.34 : 5,084.99 = 2,341.34 : x
  2. Step 2: Convert to fraction form
    3,685.34/5,084.99 = 2,341.34/x
  3. Step 3: Cross multiply
    3,685.34x = 5,084.99 × 2,341.34
  4. Step 4: Simplify right side
    3,685.34x = 11,905,700.27
  5. Step 5: Solve for x
    x = 11,905,700.27/3,685.34
  6. Step 6: Final answer
    x = 3,230.56

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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.