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Finding the Fourth Proportional to 6,140.68, 8,474.04 and 3,346.16

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Solution

The fourth proportional to 6,140.68, 8,474.04 and 3,346.16 is: 4,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.68 : 8,474.04 = 3,346.16 : x
  2. Step 2: Convert to fraction form
    6,140.68/8,474.04 = 3,346.16/x
  3. Step 3: Cross multiply
    6,140.68x = 8,474.04 × 3,346.16
  4. Step 4: Simplify right side
    6,140.68x = 28,355,493.69
  5. Step 5: Solve for x
    x = 28,355,493.69/6,140.68
  6. Step 6: Final answer
    x = 4,617.65

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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.