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Finding the Fourth Proportional to 5,984.58, 8,254.91 and 3,967.99

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Solution

The fourth proportional to 5,984.58, 8,254.91 and 3,967.99 is: 5,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.58 : 8,254.91 = 3,967.99 : x
  2. Step 2: Convert to fraction form
    5,984.58/8,254.91 = 3,967.99/x
  3. Step 3: Cross multiply
    5,984.58x = 8,254.91 × 3,967.99
  4. Step 4: Simplify right side
    5,984.58x = 32,755,389.61
  5. Step 5: Solve for x
    x = 32,755,389.61/5,984.58
  6. Step 6: Final answer
    x = 5,473.29

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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.