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Finding the Fourth Proportional to 5,971.69, 8,954.45 and 2,681.98

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Solution

The fourth proportional to 5,971.69, 8,954.45 and 2,681.98 is: 4,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.69 : 8,954.45 = 2,681.98 : x
  2. Step 2: Convert to fraction form
    5,971.69/8,954.45 = 2,681.98/x
  3. Step 3: Cross multiply
    5,971.69x = 8,954.45 × 2,681.98
  4. Step 4: Simplify right side
    5,971.69x = 24,015,630.07
  5. Step 5: Solve for x
    x = 24,015,630.07/5,971.69
  6. Step 6: Final answer
    x = 4,021.58

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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.