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Finding the Fourth Proportional to 3,954.89, 5,932.33 and 1,616.00

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Solution

The fourth proportional to 3,954.89, 5,932.33 and 1,616.00 is: 2,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.89 : 5,932.33 = 1,616.00 : x
  2. Step 2: Convert to fraction form
    3,954.89/5,932.33 = 1,616.00/x
  3. Step 3: Cross multiply
    3,954.89x = 5,932.33 × 1,616.00
  4. Step 4: Simplify right side
    3,954.89x = 9,586,617.64
  5. Step 5: Solve for x
    x = 9,586,617.64/3,954.89
  6. Step 6: Final answer
    x = 2,423.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.