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Finding the Fourth Proportional to 5,671.54, 7,821.50 and 3,546.39

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Solution

The fourth proportional to 5,671.54, 7,821.50 and 3,546.39 is: 4,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.54 : 7,821.50 = 3,546.39 : x
  2. Step 2: Convert to fraction form
    5,671.54/7,821.50 = 3,546.39/x
  3. Step 3: Cross multiply
    5,671.54x = 7,821.50 × 3,546.39
  4. Step 4: Simplify right side
    5,671.54x = 27,738,100.98
  5. Step 5: Solve for x
    x = 27,738,100.98/5,671.54
  6. Step 6: Final answer
    x = 4,890.75

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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.