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Finding the Fourth Proportional to 5,601.78, 8,407.53 and 3,006.54

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Solution

The fourth proportional to 5,601.78, 8,407.53 and 3,006.54 is: 4,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.78 : 8,407.53 = 3,006.54 : x
  2. Step 2: Convert to fraction form
    5,601.78/8,407.53 = 3,006.54/x
  3. Step 3: Cross multiply
    5,601.78x = 8,407.53 × 3,006.54
  4. Step 4: Simplify right side
    5,601.78x = 25,277,575.25
  5. Step 5: Solve for x
    x = 25,277,575.25/5,601.78
  6. Step 6: Final answer
    x = 4,512.42

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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.