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Finding the Fourth Proportional to 5,923.33, 8,177.12 and 4,644.96

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Solution

The fourth proportional to 5,923.33, 8,177.12 and 4,644.96 is: 6,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.33 : 8,177.12 = 4,644.96 : x
  2. Step 2: Convert to fraction form
    5,923.33/8,177.12 = 4,644.96/x
  3. Step 3: Cross multiply
    5,923.33x = 8,177.12 × 4,644.96
  4. Step 4: Simplify right side
    5,923.33x = 37,982,395.32
  5. Step 5: Solve for x
    x = 37,982,395.32/5,923.33
  6. Step 6: Final answer
    x = 6,412.34

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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.