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Finding the Fourth Proportional to 5,114.54, 7,057.88 and 2,876.54

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Solution

The fourth proportional to 5,114.54, 7,057.88 and 2,876.54 is: 3,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.54 : 7,057.88 = 2,876.54 : x
  2. Step 2: Convert to fraction form
    5,114.54/7,057.88 = 2,876.54/x
  3. Step 3: Cross multiply
    5,114.54x = 7,057.88 × 2,876.54
  4. Step 4: Simplify right side
    5,114.54x = 20,302,274.14
  5. Step 5: Solve for x
    x = 20,302,274.14/5,114.54
  6. Step 6: Final answer
    x = 3,969.52

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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.