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Finding the Fourth Proportional to 5,894.90, 8,133.49 and 3,796.50

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Solution

The fourth proportional to 5,894.90, 8,133.49 and 3,796.50 is: 5,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.90 : 8,133.49 = 3,796.50 : x
  2. Step 2: Convert to fraction form
    5,894.90/8,133.49 = 3,796.50/x
  3. Step 3: Cross multiply
    5,894.90x = 8,133.49 × 3,796.50
  4. Step 4: Simplify right side
    5,894.90x = 30,878,794.79
  5. Step 5: Solve for x
    x = 30,878,794.79/5,894.90
  6. Step 6: Final answer
    x = 5,238.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.