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Finding the Fourth Proportional to 5,114.28, 7,672.44 and 1,827.28

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Solution

The fourth proportional to 5,114.28, 7,672.44 and 1,827.28 is: 2,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.28 : 7,672.44 = 1,827.28 : x
  2. Step 2: Convert to fraction form
    5,114.28/7,672.44 = 1,827.28/x
  3. Step 3: Cross multiply
    5,114.28x = 7,672.44 × 1,827.28
  4. Step 4: Simplify right side
    5,114.28x = 14,019,696.16
  5. Step 5: Solve for x
    x = 14,019,696.16/5,114.28
  6. Step 6: Final answer
    x = 2,741.28

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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.