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Finding the Fourth Proportional to 5,557.92, 7,669.88 and 3,199.88

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Solution

The fourth proportional to 5,557.92, 7,669.88 and 3,199.88 is: 4,415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.92 : 7,669.88 = 3,199.88 : x
  2. Step 2: Convert to fraction form
    5,557.92/7,669.88 = 3,199.88/x
  3. Step 3: Cross multiply
    5,557.92x = 7,669.88 × 3,199.88
  4. Step 4: Simplify right side
    5,557.92x = 24,542,695.61
  5. Step 5: Solve for x
    x = 24,542,695.61/5,557.92
  6. Step 6: Final answer
    x = 4,415.81

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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.