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Finding the Fourth Proportional to 5,986.99, 8,263.88 and 4,097.82

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Solution

The fourth proportional to 5,986.99, 8,263.88 and 4,097.82 is: 5,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.99 : 8,263.88 = 4,097.82 : x
  2. Step 2: Convert to fraction form
    5,986.99/8,263.88 = 4,097.82/x
  3. Step 3: Cross multiply
    5,986.99x = 8,263.88 × 4,097.82
  4. Step 4: Simplify right side
    5,986.99x = 33,863,892.74
  5. Step 5: Solve for x
    x = 33,863,892.74/5,986.99
  6. Step 6: Final answer
    x = 5,656.25

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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.