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Finding the Fourth Proportional to 6,174.88, 8,521.36 and 3,380.64

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Solution

The fourth proportional to 6,174.88, 8,521.36 and 3,380.64 is: 4,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.88 : 8,521.36 = 3,380.64 : x
  2. Step 2: Convert to fraction form
    6,174.88/8,521.36 = 3,380.64/x
  3. Step 3: Cross multiply
    6,174.88x = 8,521.36 × 3,380.64
  4. Step 4: Simplify right side
    6,174.88x = 28,807,650.47
  5. Step 5: Solve for x
    x = 28,807,650.47/6,174.88
  6. Step 6: Final answer
    x = 4,665.30

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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.