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Finding the Fourth Proportional to 5,174.86, 7,140.12 and 2,936.20

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Solution

The fourth proportional to 5,174.86, 7,140.12 and 2,936.20 is: 4,051.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.86 : 7,140.12 = 2,936.20 : x
  2. Step 2: Convert to fraction form
    5,174.86/7,140.12 = 2,936.20/x
  3. Step 3: Cross multiply
    5,174.86x = 7,140.12 × 2,936.20
  4. Step 4: Simplify right side
    5,174.86x = 20,964,820.34
  5. Step 5: Solve for x
    x = 20,964,820.34/5,174.86
  6. Step 6: Final answer
    x = 4,051.28

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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.