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Finding the Fourth Proportional to 5,644.09, 8,454.97 and 5,218.75

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Solution

The fourth proportional to 5,644.09, 8,454.97 and 5,218.75 is: 7,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.09 : 8,454.97 = 5,218.75 : x
  2. Step 2: Convert to fraction form
    5,644.09/8,454.97 = 5,218.75/x
  3. Step 3: Cross multiply
    5,644.09x = 8,454.97 × 5,218.75
  4. Step 4: Simplify right side
    5,644.09x = 44,124,374.69
  5. Step 5: Solve for x
    x = 44,124,374.69/5,644.09
  6. Step 6: Final answer
    x = 7,817.80

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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.