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Finding the Fourth Proportional to 5,092.44, 7,018.02 and 4,083

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Solution

The fourth proportional to 5,092.44, 7,018.02 and 4,083 is: 5,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092.44 : 7,018.02 = 4,083 : x
  2. Step 2: Convert to fraction form
    5,092.44/7,018.02 = 4,083/x
  3. Step 3: Cross multiply
    5,092.44x = 7,018.02 × 4,083
  4. Step 4: Simplify right side
    5,092.44x = 28,654,575.66
  5. Step 5: Solve for x
    x = 28,654,575.66/5,092.44
  6. Step 6: Final answer
    x = 5,626.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.