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Finding the Fourth Proportional to 3,274.72, 4,911.83 and 1,427.16

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Solution

The fourth proportional to 3,274.72, 4,911.83 and 1,427.16 is: 2,140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.72 : 4,911.83 = 1,427.16 : x
  2. Step 2: Convert to fraction form
    3,274.72/4,911.83 = 1,427.16/x
  3. Step 3: Cross multiply
    3,274.72x = 4,911.83 × 1,427.16
  4. Step 4: Simplify right side
    3,274.72x = 7,009,967.30
  5. Step 5: Solve for x
    x = 7,009,967.30/3,274.72
  6. Step 6: Final answer
    x = 2,140.63

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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.