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Finding the Fourth Proportional to 4,654.40, 6,422.22 and 3,768.66

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Solution

The fourth proportional to 4,654.40, 6,422.22 and 3,768.66 is: 5,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.40 : 6,422.22 = 3,768.66 : x
  2. Step 2: Convert to fraction form
    4,654.40/6,422.22 = 3,768.66/x
  3. Step 3: Cross multiply
    4,654.40x = 6,422.22 × 3,768.66
  4. Step 4: Simplify right side
    4,654.40x = 24,203,163.63
  5. Step 5: Solve for x
    x = 24,203,163.63/4,654.40
  6. Step 6: Final answer
    x = 5,200.07

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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.