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Finding the Fourth Proportional to 4,952.21, 7,419.20 and 3,102.98

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Solution

The fourth proportional to 4,952.21, 7,419.20 and 3,102.98 is: 4,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.21 : 7,419.20 = 3,102.98 : x
  2. Step 2: Convert to fraction form
    4,952.21/7,419.20 = 3,102.98/x
  3. Step 3: Cross multiply
    4,952.21x = 7,419.20 × 3,102.98
  4. Step 4: Simplify right side
    4,952.21x = 23,021,576.61
  5. Step 5: Solve for x
    x = 23,021,576.61/4,952.21
  6. Step 6: Final answer
    x = 4,648.75

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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.