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Finding the Fourth Proportional to 5,596.54, 7,723.24 and 3,078.81

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Solution

The fourth proportional to 5,596.54, 7,723.24 and 3,078.81 is: 4,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.54 : 7,723.24 = 3,078.81 : x
  2. Step 2: Convert to fraction form
    5,596.54/7,723.24 = 3,078.81/x
  3. Step 3: Cross multiply
    5,596.54x = 7,723.24 × 3,078.81
  4. Step 4: Simplify right side
    5,596.54x = 23,778,380.85
  5. Step 5: Solve for x
    x = 23,778,380.85/5,596.54
  6. Step 6: Final answer
    x = 4,248.77

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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.