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Finding the Fourth Proportional to 4,609.92, 6,356.88 and 3,036

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Solution

The fourth proportional to 4,609.92, 6,356.88 and 3,036 is: 4,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.92 : 6,356.88 = 3,036 : x
  2. Step 2: Convert to fraction form
    4,609.92/6,356.88 = 3,036/x
  3. Step 3: Cross multiply
    4,609.92x = 6,356.88 × 3,036
  4. Step 4: Simplify right side
    4,609.92x = 19,299,487.68
  5. Step 5: Solve for x
    x = 19,299,487.68/4,609.92
  6. Step 6: Final answer
    x = 4,186.51

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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.