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Finding the Fourth Proportional to 5,824.98, 8,036.19 and 4,563.81

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Solution

The fourth proportional to 5,824.98, 8,036.19 and 4,563.81 is: 6,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.98 : 8,036.19 = 4,563.81 : x
  2. Step 2: Convert to fraction form
    5,824.98/8,036.19 = 4,563.81/x
  3. Step 3: Cross multiply
    5,824.98x = 8,036.19 × 4,563.81
  4. Step 4: Simplify right side
    5,824.98x = 36,675,644.28
  5. Step 5: Solve for x
    x = 36,675,644.28/5,824.98
  6. Step 6: Final answer
    x = 6,296.27

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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.