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Finding the Fourth Proportional to 3,456.81, 5,183.60 and 1,264.01

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Solution

The fourth proportional to 3,456.81, 5,183.60 and 1,264.01 is: 1,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.81 : 5,183.60 = 1,264.01 : x
  2. Step 2: Convert to fraction form
    3,456.81/5,183.60 = 1,264.01/x
  3. Step 3: Cross multiply
    3,456.81x = 5,183.60 × 1,264.01
  4. Step 4: Simplify right side
    3,456.81x = 6,552,090.00
  5. Step 5: Solve for x
    x = 6,552,090.00/3,456.81
  6. Step 6: Final answer
    x = 1,895.42

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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.