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Finding the Fourth Proportional to 6,140.81, 8,474.42 and 3,346.31

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Solution

The fourth proportional to 6,140.81, 8,474.42 and 3,346.31 is: 4,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.81 : 8,474.42 = 3,346.31 : x
  2. Step 2: Convert to fraction form
    6,140.81/8,474.42 = 3,346.31/x
  3. Step 3: Cross multiply
    6,140.81x = 8,474.42 × 3,346.31
  4. Step 4: Simplify right side
    6,140.81x = 28,358,065.94
  5. Step 5: Solve for x
    x = 28,358,065.94/6,140.81
  6. Step 6: Final answer
    x = 4,617.97

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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.