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Finding the Fourth Proportional to 5,596.74, 7,723.60 and 3,078.96

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Solution

The fourth proportional to 5,596.74, 7,723.60 and 3,078.96 is: 4,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.74 : 7,723.60 = 3,078.96 : x
  2. Step 2: Convert to fraction form
    5,596.74/7,723.60 = 3,078.96/x
  3. Step 3: Cross multiply
    5,596.74x = 7,723.60 × 3,078.96
  4. Step 4: Simplify right side
    5,596.74x = 23,780,655.46
  5. Step 5: Solve for x
    x = 23,780,655.46/5,596.74
  6. Step 6: Final answer
    x = 4,249.02

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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.