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Finding the Fourth Proportional to 6,299.04, 8,683.57 and 4,171.01

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Solution

The fourth proportional to 6,299.04, 8,683.57 and 4,171.01 is: 5,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.04 : 8,683.57 = 4,171.01 : x
  2. Step 2: Convert to fraction form
    6,299.04/8,683.57 = 4,171.01/x
  3. Step 3: Cross multiply
    6,299.04x = 8,683.57 × 4,171.01
  4. Step 4: Simplify right side
    6,299.04x = 36,219,257.31
  5. Step 5: Solve for x
    x = 36,219,257.31/6,299.04
  6. Step 6: Final answer
    x = 5,749.96

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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.