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Finding the Fourth Proportional to 5,966.12, 8,236.50 and 4,571.24

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Solution

The fourth proportional to 5,966.12, 8,236.50 and 4,571.24 is: 6,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.12 : 8,236.50 = 4,571.24 : x
  2. Step 2: Convert to fraction form
    5,966.12/8,236.50 = 4,571.24/x
  3. Step 3: Cross multiply
    5,966.12x = 8,236.50 × 4,571.24
  4. Step 4: Simplify right side
    5,966.12x = 37,651,018.26
  5. Step 5: Solve for x
    x = 37,651,018.26/5,966.12
  6. Step 6: Final answer
    x = 6,310.80

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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.