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Finding the Fourth Proportional to 3,678.78, 5,518.41 and 1,081.50

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Solution

The fourth proportional to 3,678.78, 5,518.41 and 1,081.50 is: 1,622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.78 : 5,518.41 = 1,081.50 : x
  2. Step 2: Convert to fraction form
    3,678.78/5,518.41 = 1,081.50/x
  3. Step 3: Cross multiply
    3,678.78x = 5,518.41 × 1,081.50
  4. Step 4: Simplify right side
    3,678.78x = 5,968,160.42
  5. Step 5: Solve for x
    x = 5,968,160.42/3,678.78
  6. Step 6: Final answer
    x = 1,622.32

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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.