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Finding the Fourth Proportional to 5,985.41, 8,978.11 and 1,825.44

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Solution

The fourth proportional to 5,985.41, 8,978.11 and 1,825.44 is: 2,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.41 : 8,978.11 = 1,825.44 : x
  2. Step 2: Convert to fraction form
    5,985.41/8,978.11 = 1,825.44/x
  3. Step 3: Cross multiply
    5,985.41x = 8,978.11 × 1,825.44
  4. Step 4: Simplify right side
    5,985.41x = 16,389,001.12
  5. Step 5: Solve for x
    x = 16,389,001.12/5,985.41
  6. Step 6: Final answer
    x = 2,738.16

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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.