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Finding the Fourth Proportional to 5,966.75, 8,234.33 and 3,314.41

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Solution

The fourth proportional to 5,966.75, 8,234.33 and 3,314.41 is: 4,574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.75 : 8,234.33 = 3,314.41 : x
  2. Step 2: Convert to fraction form
    5,966.75/8,234.33 = 3,314.41/x
  3. Step 3: Cross multiply
    5,966.75x = 8,234.33 × 3,314.41
  4. Step 4: Simplify right side
    5,966.75x = 27,291,908.54
  5. Step 5: Solve for x
    x = 27,291,908.54/5,966.75
  6. Step 6: Final answer
    x = 4,574.00

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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.