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Finding the Fourth Proportional to 5,897.78, 8,843.84 and 3,433.36

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Solution

The fourth proportional to 5,897.78, 8,843.84 and 3,433.36 is: 5,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.78 : 8,843.84 = 3,433.36 : x
  2. Step 2: Convert to fraction form
    5,897.78/8,843.84 = 3,433.36/x
  3. Step 3: Cross multiply
    5,897.78x = 8,843.84 × 3,433.36
  4. Step 4: Simplify right side
    5,897.78x = 30,364,086.50
  5. Step 5: Solve for x
    x = 30,364,086.50/5,897.78
  6. Step 6: Final answer
    x = 5,148.39

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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.