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Finding the Fourth Proportional to 6,102.88, 8,421.65 and 3,450.13

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Solution

The fourth proportional to 6,102.88, 8,421.65 and 3,450.13 is: 4,760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.88 : 8,421.65 = 3,450.13 : x
  2. Step 2: Convert to fraction form
    6,102.88/8,421.65 = 3,450.13/x
  3. Step 3: Cross multiply
    6,102.88x = 8,421.65 × 3,450.13
  4. Step 4: Simplify right side
    6,102.88x = 29,055,770.06
  5. Step 5: Solve for x
    x = 29,055,770.06/6,102.88
  6. Step 6: Final answer
    x = 4,760.99

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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.