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Finding the Fourth Proportional to 5,232.95, 7,850.59 and 1,722.82

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Solution

The fourth proportional to 5,232.95, 7,850.59 and 1,722.82 is: 2,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.95 : 7,850.59 = 1,722.82 : x
  2. Step 2: Convert to fraction form
    5,232.95/7,850.59 = 1,722.82/x
  3. Step 3: Cross multiply
    5,232.95x = 7,850.59 × 1,722.82
  4. Step 4: Simplify right side
    5,232.95x = 13,525,144.25
  5. Step 5: Solve for x
    x = 13,525,144.25/5,232.95
  6. Step 6: Final answer
    x = 2,584.61

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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.