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Finding the Fourth Proportional to 6,311.38, 8,709.70 and 3,660.32

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Solution

The fourth proportional to 6,311.38, 8,709.70 and 3,660.32 is: 5,051.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.38 : 8,709.70 = 3,660.32 : x
  2. Step 2: Convert to fraction form
    6,311.38/8,709.70 = 3,660.32/x
  3. Step 3: Cross multiply
    6,311.38x = 8,709.70 × 3,660.32
  4. Step 4: Simplify right side
    6,311.38x = 31,880,289.10
  5. Step 5: Solve for x
    x = 31,880,289.10/6,311.38
  6. Step 6: Final answer
    x = 5,051.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.