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Finding the Fourth Proportional to 4,947.41, 7,421.84 and 1,614.57

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Solution

The fourth proportional to 4,947.41, 7,421.84 and 1,614.57 is: 2,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.41 : 7,421.84 = 1,614.57 : x
  2. Step 2: Convert to fraction form
    4,947.41/7,421.84 = 1,614.57/x
  3. Step 3: Cross multiply
    4,947.41x = 7,421.84 × 1,614.57
  4. Step 4: Simplify right side
    4,947.41x = 11,983,080.21
  5. Step 5: Solve for x
    x = 11,983,080.21/4,947.41
  6. Step 6: Final answer
    x = 2,422.09

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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.