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Finding the Fourth Proportional to 4,166.40, 6,235.20 and 3,820.80

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Solution

The fourth proportional to 4,166.40, 6,235.20 and 3,820.80 is: 5,717.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.40 : 6,235.20 = 3,820.80 : x
  2. Step 2: Convert to fraction form
    4,166.40/6,235.20 = 3,820.80/x
  3. Step 3: Cross multiply
    4,166.40x = 6,235.20 × 3,820.80
  4. Step 4: Simplify right side
    4,166.40x = 23,823,452.16
  5. Step 5: Solve for x
    x = 23,823,452.16/4,166.40
  6. Step 6: Final answer
    x = 5,717.99

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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.