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Finding the Fourth Proportional to 3,990.78, 5,984.16 and 2,325.44

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Solution

The fourth proportional to 3,990.78, 5,984.16 and 2,325.44 is: 3,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,990.78 : 5,984.16 = 2,325.44 : x
  2. Step 2: Convert to fraction form
    3,990.78/5,984.16 = 2,325.44/x
  3. Step 3: Cross multiply
    3,990.78x = 5,984.16 × 2,325.44
  4. Step 4: Simplify right side
    3,990.78x = 13,915,790.07
  5. Step 5: Solve for x
    x = 13,915,790.07/3,990.78
  6. Step 6: Final answer
    x = 3,486.99

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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.