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Finding the Fourth Proportional to 4,243.60, 6,346.86 and 3,136.60

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Solution

The fourth proportional to 4,243.60, 6,346.86 and 3,136.60 is: 4,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.60 : 6,346.86 = 3,136.60 : x
  2. Step 2: Convert to fraction form
    4,243.60/6,346.86 = 3,136.60/x
  3. Step 3: Cross multiply
    4,243.60x = 6,346.86 × 3,136.60
  4. Step 4: Simplify right side
    4,243.60x = 19,907,561.08
  5. Step 5: Solve for x
    x = 19,907,561.08/4,243.60
  6. Step 6: Final answer
    x = 4,691.20

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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.