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Finding the Fourth Proportional to 4,901.62, 7,352.89 and 1,614.72

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Solution

The fourth proportional to 4,901.62, 7,352.89 and 1,614.72 is: 2,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.62 : 7,352.89 = 1,614.72 : x
  2. Step 2: Convert to fraction form
    4,901.62/7,352.89 = 1,614.72/x
  3. Step 3: Cross multiply
    4,901.62x = 7,352.89 × 1,614.72
  4. Step 4: Simplify right side
    4,901.62x = 11,872,858.54
  5. Step 5: Solve for x
    x = 11,872,858.54/4,901.62
  6. Step 6: Final answer
    x = 2,422.23

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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.