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Finding the Fourth Proportional to 6,457.20, 9,678.60 and 3,685.20

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Solution

The fourth proportional to 6,457.20, 9,678.60 and 3,685.20 is: 5,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.20 : 9,678.60 = 3,685.20 : x
  2. Step 2: Convert to fraction form
    6,457.20/9,678.60 = 3,685.20/x
  3. Step 3: Cross multiply
    6,457.20x = 9,678.60 × 3,685.20
  4. Step 4: Simplify right side
    6,457.20x = 35,667,576.72
  5. Step 5: Solve for x
    x = 35,667,576.72/6,457.20
  6. Step 6: Final answer
    x = 5,523.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.