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Finding the Fourth Proportional to 4,901.57, 7,353.49 and 1,614.69

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Solution

The fourth proportional to 4,901.57, 7,353.49 and 1,614.69 is: 2,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.57 : 7,353.49 = 1,614.69 : x
  2. Step 2: Convert to fraction form
    4,901.57/7,353.49 = 1,614.69/x
  3. Step 3: Cross multiply
    4,901.57x = 7,353.49 × 1,614.69
  4. Step 4: Simplify right side
    4,901.57x = 11,873,608.79
  5. Step 5: Solve for x
    x = 11,873,608.79/4,901.57
  6. Step 6: Final answer
    x = 2,422.41

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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.