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Finding the Fourth Proportional to 5,811.58, 8,012.16 and 3,821.38

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Solution

The fourth proportional to 5,811.58, 8,012.16 and 3,821.38 is: 5,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.58 : 8,012.16 = 3,821.38 : x
  2. Step 2: Convert to fraction form
    5,811.58/8,012.16 = 3,821.38/x
  3. Step 3: Cross multiply
    5,811.58x = 8,012.16 × 3,821.38
  4. Step 4: Simplify right side
    5,811.58x = 30,617,507.98
  5. Step 5: Solve for x
    x = 30,617,507.98/5,811.58
  6. Step 6: Final answer
    x = 5,268.36

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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.