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Finding the Fourth Proportional to 6,174.76, 8,521.17 and 3,380.26

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Solution

The fourth proportional to 6,174.76, 8,521.17 and 3,380.26 is: 4,664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.76 : 8,521.17 = 3,380.26 : x
  2. Step 2: Convert to fraction form
    6,174.76/8,521.17 = 3,380.26/x
  3. Step 3: Cross multiply
    6,174.76x = 8,521.17 × 3,380.26
  4. Step 4: Simplify right side
    6,174.76x = 28,803,770.10
  5. Step 5: Solve for x
    x = 28,803,770.10/6,174.76
  6. Step 6: Final answer
    x = 4,664.76

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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.