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Finding the Fourth Proportional to 6,174.72, 8,525.70 and 3,787.99

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Solution

The fourth proportional to 6,174.72, 8,525.70 and 3,787.99 is: 5,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.72 : 8,525.70 = 3,787.99 : x
  2. Step 2: Convert to fraction form
    6,174.72/8,525.70 = 3,787.99/x
  3. Step 3: Cross multiply
    6,174.72x = 8,525.70 × 3,787.99
  4. Step 4: Simplify right side
    6,174.72x = 32,295,266.34
  5. Step 5: Solve for x
    x = 32,295,266.34/6,174.72
  6. Step 6: Final answer
    x = 5,230.24

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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.