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Finding the Fourth Proportional to 5,447.34, 8,174.43 and 1,984.50

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Solution

The fourth proportional to 5,447.34, 8,174.43 and 1,984.50 is: 2,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.34 : 8,174.43 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    5,447.34/8,174.43 = 1,984.50/x
  3. Step 3: Cross multiply
    5,447.34x = 8,174.43 × 1,984.50
  4. Step 4: Simplify right side
    5,447.34x = 16,222,156.34
  5. Step 5: Solve for x
    x = 16,222,156.34/5,447.34
  6. Step 6: Final answer
    x = 2,978.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.