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Finding the Fourth Proportional to 5,884.24, 8,116.77 and 4,018

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Solution

The fourth proportional to 5,884.24, 8,116.77 and 4,018 is: 5,542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.24 : 8,116.77 = 4,018 : x
  2. Step 2: Convert to fraction form
    5,884.24/8,116.77 = 4,018/x
  3. Step 3: Cross multiply
    5,884.24x = 8,116.77 × 4,018
  4. Step 4: Simplify right side
    5,884.24x = 32,613,181.86
  5. Step 5: Solve for x
    x = 32,613,181.86/5,884.24
  6. Step 6: Final answer
    x = 5,542.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.