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Finding the Fourth Proportional to 3,475.92, 5,214.72 and 1,136.40

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Solution

The fourth proportional to 3,475.92, 5,214.72 and 1,136.40 is: 1,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.92 : 5,214.72 = 1,136.40 : x
  2. Step 2: Convert to fraction form
    3,475.92/5,214.72 = 1,136.40/x
  3. Step 3: Cross multiply
    3,475.92x = 5,214.72 × 1,136.40
  4. Step 4: Simplify right side
    3,475.92x = 5,926,007.81
  5. Step 5: Solve for x
    x = 5,926,007.81/3,475.92
  6. Step 6: Final answer
    x = 1,704.87

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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.