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Finding the Fourth Proportional to 4,947.93, 7,422.26 and 1,661.00

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Solution

The fourth proportional to 4,947.93, 7,422.26 and 1,661.00 is: 2,491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.93 : 7,422.26 = 1,661.00 : x
  2. Step 2: Convert to fraction form
    4,947.93/7,422.26 = 1,661.00/x
  3. Step 3: Cross multiply
    4,947.93x = 7,422.26 × 1,661.00
  4. Step 4: Simplify right side
    4,947.93x = 12,328,328.44
  5. Step 5: Solve for x
    x = 12,328,328.44/4,947.93
  6. Step 6: Final answer
    x = 2,491.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.