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Finding the Fourth Proportional to 5,369.86, 7,410.77 and 3,012

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Solution

The fourth proportional to 5,369.86, 7,410.77 and 3,012 is: 4,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.86 : 7,410.77 = 3,012 : x
  2. Step 2: Convert to fraction form
    5,369.86/7,410.77 = 3,012/x
  3. Step 3: Cross multiply
    5,369.86x = 7,410.77 × 3,012
  4. Step 4: Simplify right side
    5,369.86x = 22,321,239.24
  5. Step 5: Solve for x
    x = 22,321,239.24/5,369.86
  6. Step 6: Final answer
    x = 4,156.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.