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Finding the Fourth Proportional to 5,857.93, 8,083.93 and 3,205.35

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Solution

The fourth proportional to 5,857.93, 8,083.93 and 3,205.35 is: 4,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.93 : 8,083.93 = 3,205.35 : x
  2. Step 2: Convert to fraction form
    5,857.93/8,083.93 = 3,205.35/x
  3. Step 3: Cross multiply
    5,857.93x = 8,083.93 × 3,205.35
  4. Step 4: Simplify right side
    5,857.93x = 25,911,825.03
  5. Step 5: Solve for x
    x = 25,911,825.03/5,857.93
  6. Step 6: Final answer
    x = 4,423.38

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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.