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Finding the Fourth Proportional to 5,179.77, 7,768.87 and 1,669.32

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Solution

The fourth proportional to 5,179.77, 7,768.87 and 1,669.32 is: 2,503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.77 : 7,768.87 = 1,669.32 : x
  2. Step 2: Convert to fraction form
    5,179.77/7,768.87 = 1,669.32/x
  3. Step 3: Cross multiply
    5,179.77x = 7,768.87 × 1,669.32
  4. Step 4: Simplify right side
    5,179.77x = 12,968,730.07
  5. Step 5: Solve for x
    x = 12,968,730.07/5,179.77
  6. Step 6: Final answer
    x = 2,503.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.