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Finding the Fourth Proportional to 5,980.46, 8,251.77 and 3,462.41

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Solution

The fourth proportional to 5,980.46, 8,251.77 and 3,462.41 is: 4,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.46 : 8,251.77 = 3,462.41 : x
  2. Step 2: Convert to fraction form
    5,980.46/8,251.77 = 3,462.41/x
  3. Step 3: Cross multiply
    5,980.46x = 8,251.77 × 3,462.41
  4. Step 4: Simplify right side
    5,980.46x = 28,570,969.71
  5. Step 5: Solve for x
    x = 28,570,969.71/5,980.46
  6. Step 6: Final answer
    x = 4,777.39

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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.