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Finding the Fourth Proportional to 5,394.89, 8,089.76 and 1,884.47

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Solution

The fourth proportional to 5,394.89, 8,089.76 and 1,884.47 is: 2,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.89 : 8,089.76 = 1,884.47 : x
  2. Step 2: Convert to fraction form
    5,394.89/8,089.76 = 1,884.47/x
  3. Step 3: Cross multiply
    5,394.89x = 8,089.76 × 1,884.47
  4. Step 4: Simplify right side
    5,394.89x = 15,244,860.16
  5. Step 5: Solve for x
    x = 15,244,860.16/5,394.89
  6. Step 6: Final answer
    x = 2,825.80

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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.