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Finding the Fourth Proportional to 4,889.62, 7,334.31 and 1,426.90

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Solution

The fourth proportional to 4,889.62, 7,334.31 and 1,426.90 is: 2,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.62 : 7,334.31 = 1,426.90 : x
  2. Step 2: Convert to fraction form
    4,889.62/7,334.31 = 1,426.90/x
  3. Step 3: Cross multiply
    4,889.62x = 7,334.31 × 1,426.90
  4. Step 4: Simplify right side
    4,889.62x = 10,465,326.94
  5. Step 5: Solve for x
    x = 10,465,326.94/4,889.62
  6. Step 6: Final answer
    x = 2,140.31

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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.