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Finding the Fourth Proportional to 5,987.90, 8,982.26 and 1,827.94

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Solution

The fourth proportional to 5,987.90, 8,982.26 and 1,827.94 is: 2,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.90 : 8,982.26 = 1,827.94 : x
  2. Step 2: Convert to fraction form
    5,987.90/8,982.26 = 1,827.94/x
  3. Step 3: Cross multiply
    5,987.90x = 8,982.26 × 1,827.94
  4. Step 4: Simplify right side
    5,987.90x = 16,418,978.29
  5. Step 5: Solve for x
    x = 16,418,978.29/5,987.90
  6. Step 6: Final answer
    x = 2,742.03

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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.