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Finding the Fourth Proportional to 4,947.63, 7,422.57 and 1,616.06

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Solution

The fourth proportional to 4,947.63, 7,422.57 and 1,616.06 is: 2,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.63 : 7,422.57 = 1,616.06 : x
  2. Step 2: Convert to fraction form
    4,947.63/7,422.57 = 1,616.06/x
  3. Step 3: Cross multiply
    4,947.63x = 7,422.57 × 1,616.06
  4. Step 4: Simplify right side
    4,947.63x = 11,995,337.03
  5. Step 5: Solve for x
    x = 11,995,337.03/4,947.63
  6. Step 6: Final answer
    x = 2,424.46

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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.