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Finding the Fourth Proportional to 5,644.78, 8,466.49 and 1,485.11

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Solution

The fourth proportional to 5,644.78, 8,466.49 and 1,485.11 is: 2,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.78 : 8,466.49 = 1,485.11 : x
  2. Step 2: Convert to fraction form
    5,644.78/8,466.49 = 1,485.11/x
  3. Step 3: Cross multiply
    5,644.78x = 8,466.49 × 1,485.11
  4. Step 4: Simplify right side
    5,644.78x = 12,573,668.96
  5. Step 5: Solve for x
    x = 12,573,668.96/5,644.78
  6. Step 6: Final answer
    x = 2,227.49

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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.