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Finding the Fourth Proportional to 5,623.75, 7,760.78 and 3,267.33

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Solution

The fourth proportional to 5,623.75, 7,760.78 and 3,267.33 is: 4,508.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.75 : 7,760.78 = 3,267.33 : x
  2. Step 2: Convert to fraction form
    5,623.75/7,760.78 = 3,267.33/x
  3. Step 3: Cross multiply
    5,623.75x = 7,760.78 × 3,267.33
  4. Step 4: Simplify right side
    5,623.75x = 25,357,029.32
  5. Step 5: Solve for x
    x = 25,357,029.32/5,623.75
  6. Step 6: Final answer
    x = 4,508.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.