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Finding the Fourth Proportional to 5,796.25, 8,685.43 and 3,914.77

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Solution

The fourth proportional to 5,796.25, 8,685.43 and 3,914.77 is: 5,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.25 : 8,685.43 = 3,914.77 : x
  2. Step 2: Convert to fraction form
    5,796.25/8,685.43 = 3,914.77/x
  3. Step 3: Cross multiply
    5,796.25x = 8,685.43 × 3,914.77
  4. Step 4: Simplify right side
    5,796.25x = 34,001,460.80
  5. Step 5: Solve for x
    x = 34,001,460.80/5,796.25
  6. Step 6: Final answer
    x = 5,866.11

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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.