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Finding the Fourth Proportional to 6,102.18, 8,420.04 and 3,448.98

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Solution

The fourth proportional to 6,102.18, 8,420.04 and 3,448.98 is: 4,759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.18 : 8,420.04 = 3,448.98 : x
  2. Step 2: Convert to fraction form
    6,102.18/8,420.04 = 3,448.98/x
  3. Step 3: Cross multiply
    6,102.18x = 8,420.04 × 3,448.98
  4. Step 4: Simplify right side
    6,102.18x = 29,040,549.56
  5. Step 5: Solve for x
    x = 29,040,549.56/6,102.18
  6. Step 6: Final answer
    x = 4,759.05

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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.