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Finding the Fourth Proportional to 5,181.93, 7,735.07 and 4,493.43

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Solution

The fourth proportional to 5,181.93, 7,735.07 and 4,493.43 is: 6,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.93 : 7,735.07 = 4,493.43 : x
  2. Step 2: Convert to fraction form
    5,181.93/7,735.07 = 4,493.43/x
  3. Step 3: Cross multiply
    5,181.93x = 7,735.07 × 4,493.43
  4. Step 4: Simplify right side
    5,181.93x = 34,757,006.82
  5. Step 5: Solve for x
    x = 34,757,006.82/5,181.93
  6. Step 6: Final answer
    x = 6,707.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.