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Finding the Fourth Proportional to 5,966.66, 8,234.25 and 3,314.32

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Solution

The fourth proportional to 5,966.66, 8,234.25 and 3,314.32 is: 4,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.66 : 8,234.25 = 3,314.32 : x
  2. Step 2: Convert to fraction form
    5,966.66/8,234.25 = 3,314.32/x
  3. Step 3: Cross multiply
    5,966.66x = 8,234.25 × 3,314.32
  4. Step 4: Simplify right side
    5,966.66x = 27,290,939.46
  5. Step 5: Solve for x
    x = 27,290,939.46/5,966.66
  6. Step 6: Final answer
    x = 4,573.91

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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.