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Finding the Fourth Proportional to 4,166.80, 6,250.20 and 3,821.20

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Solution

The fourth proportional to 4,166.80, 6,250.20 and 3,821.20 is: 5,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.80 : 6,250.20 = 3,821.20 : x
  2. Step 2: Convert to fraction form
    4,166.80/6,250.20 = 3,821.20/x
  3. Step 3: Cross multiply
    4,166.80x = 6,250.20 × 3,821.20
  4. Step 4: Simplify right side
    4,166.80x = 23,883,264.24
  5. Step 5: Solve for x
    x = 23,883,264.24/4,166.80
  6. Step 6: Final answer
    x = 5,731.80

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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.