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Finding the Fourth Proportional to 5,843.84, 8,771.36 and 3,656.96

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Solution

The fourth proportional to 5,843.84, 8,771.36 and 3,656.96 is: 5,488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.84 : 8,771.36 = 3,656.96 : x
  2. Step 2: Convert to fraction form
    5,843.84/8,771.36 = 3,656.96/x
  3. Step 3: Cross multiply
    5,843.84x = 8,771.36 × 3,656.96
  4. Step 4: Simplify right side
    5,843.84x = 32,076,512.67
  5. Step 5: Solve for x
    x = 32,076,512.67/5,843.84
  6. Step 6: Final answer
    x = 5,488.94

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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.