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Finding the Fourth Proportional to 5,430.94, 7,494.94 and 4,249.96

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Solution

The fourth proportional to 5,430.94, 7,494.94 and 4,249.96 is: 5,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.94 : 7,494.94 = 4,249.96 : x
  2. Step 2: Convert to fraction form
    5,430.94/7,494.94 = 4,249.96/x
  3. Step 3: Cross multiply
    5,430.94x = 7,494.94 × 4,249.96
  4. Step 4: Simplify right side
    5,430.94x = 31,853,157.73
  5. Step 5: Solve for x
    x = 31,853,157.73/5,430.94
  6. Step 6: Final answer
    x = 5,865.13

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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.