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Finding the Fourth Proportional to 6,174.75, 8,521.16 and 3,380.25

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Solution

The fourth proportional to 6,174.75, 8,521.16 and 3,380.25 is: 4,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.75 : 8,521.16 = 3,380.25 : x
  2. Step 2: Convert to fraction form
    6,174.75/8,521.16 = 3,380.25/x
  3. Step 3: Cross multiply
    6,174.75x = 8,521.16 × 3,380.25
  4. Step 4: Simplify right side
    6,174.75x = 28,803,634.19
  5. Step 5: Solve for x
    x = 28,803,634.19/6,174.75
  6. Step 6: Final answer
    x = 4,664.75

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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.