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Finding the Fourth Proportional to 5,883.36, 8,118 and 3,524.64

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Solution

The fourth proportional to 5,883.36, 8,118 and 3,524.64 is: 4,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.36 : 8,118 = 3,524.64 : x
  2. Step 2: Convert to fraction form
    5,883.36/8,118 = 3,524.64/x
  3. Step 3: Cross multiply
    5,883.36x = 8,118 × 3,524.64
  4. Step 4: Simplify right side
    5,883.36x = 28,613,027.52
  5. Step 5: Solve for x
    x = 28,613,027.52/5,883.36
  6. Step 6: Final answer
    x = 4,863.38

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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.