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Finding the Fourth Proportional to 5,466.78, 8,200.14 and 1,362.78

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Solution

The fourth proportional to 5,466.78, 8,200.14 and 1,362.78 is: 2,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.78 : 8,200.14 = 1,362.78 : x
  2. Step 2: Convert to fraction form
    5,466.78/8,200.14 = 1,362.78/x
  3. Step 3: Cross multiply
    5,466.78x = 8,200.14 × 1,362.78
  4. Step 4: Simplify right side
    5,466.78x = 11,174,986.79
  5. Step 5: Solve for x
    x = 11,174,986.79/5,466.78
  6. Step 6: Final answer
    x = 2,044.16

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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.