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Finding the Fourth Proportional to 4,902.40, 7,352.02 and 1,614.71

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Solution

The fourth proportional to 4,902.40, 7,352.02 and 1,614.71 is: 2,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.40 : 7,352.02 = 1,614.71 : x
  2. Step 2: Convert to fraction form
    4,902.40/7,352.02 = 1,614.71/x
  3. Step 3: Cross multiply
    4,902.40x = 7,352.02 × 1,614.71
  4. Step 4: Simplify right side
    4,902.40x = 11,871,380.21
  5. Step 5: Solve for x
    x = 11,871,380.21/4,902.40
  6. Step 6: Final answer
    x = 2,421.54

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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.