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Finding the Fourth Proportional to 4,136.40, 6,201.72 and 1,538.64

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Solution

The fourth proportional to 4,136.40, 6,201.72 and 1,538.64 is: 2,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.40 : 6,201.72 = 1,538.64 : x
  2. Step 2: Convert to fraction form
    4,136.40/6,201.72 = 1,538.64/x
  3. Step 3: Cross multiply
    4,136.40x = 6,201.72 × 1,538.64
  4. Step 4: Simplify right side
    4,136.40x = 9,542,214.46
  5. Step 5: Solve for x
    x = 9,542,214.46/4,136.40
  6. Step 6: Final answer
    x = 2,306.89

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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.