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Finding the Fourth Proportional to 4,550.88, 6,824.52 and 1,952

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Solution

The fourth proportional to 4,550.88, 6,824.52 and 1,952 is: 2,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.88 : 6,824.52 = 1,952 : x
  2. Step 2: Convert to fraction form
    4,550.88/6,824.52 = 1,952/x
  3. Step 3: Cross multiply
    4,550.88x = 6,824.52 × 1,952
  4. Step 4: Simplify right side
    4,550.88x = 13,321,463.04
  5. Step 5: Solve for x
    x = 13,321,463.04/4,550.88
  6. Step 6: Final answer
    x = 2,927.23

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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.