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Finding the Fourth Proportional to 3,456.09, 5,181.21 and 1,506.81

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Solution

The fourth proportional to 3,456.09, 5,181.21 and 1,506.81 is: 2,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.09 : 5,181.21 = 1,506.81 : x
  2. Step 2: Convert to fraction form
    3,456.09/5,181.21 = 1,506.81/x
  3. Step 3: Cross multiply
    3,456.09x = 5,181.21 × 1,506.81
  4. Step 4: Simplify right side
    3,456.09x = 7,807,099.04
  5. Step 5: Solve for x
    x = 7,807,099.04/3,456.09
  6. Step 6: Final answer
    x = 2,258.94

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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.