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Finding the Fourth Proportional to 3,410.89, 5,116.32 and 945.71

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Solution

The fourth proportional to 3,410.89, 5,116.32 and 945.71 is: 1,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.89 : 5,116.32 = 945.71 : x
  2. Step 2: Convert to fraction form
    3,410.89/5,116.32 = 945.71/x
  3. Step 3: Cross multiply
    3,410.89x = 5,116.32 × 945.71
  4. Step 4: Simplify right side
    3,410.89x = 4,838,554.99
  5. Step 5: Solve for x
    x = 4,838,554.99/3,410.89
  6. Step 6: Final answer
    x = 1,418.56

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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.