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Finding the Fourth Proportional to 5,394.81, 8,083.53 and 5,192.49

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Solution

The fourth proportional to 5,394.81, 8,083.53 and 5,192.49 is: 7,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394.81 : 8,083.53 = 5,192.49 : x
  2. Step 2: Convert to fraction form
    5,394.81/8,083.53 = 5,192.49/x
  3. Step 3: Cross multiply
    5,394.81x = 8,083.53 × 5,192.49
  4. Step 4: Simplify right side
    5,394.81x = 41,973,648.69
  5. Step 5: Solve for x
    x = 41,973,648.69/5,394.81
  6. Step 6: Final answer
    x = 7,780.38

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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.