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Finding the Fourth Proportional to 5,884.88, 8,827.22 and 3,110.96

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Solution

The fourth proportional to 5,884.88, 8,827.22 and 3,110.96 is: 4,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.88 : 8,827.22 = 3,110.96 : x
  2. Step 2: Convert to fraction form
    5,884.88/8,827.22 = 3,110.96/x
  3. Step 3: Cross multiply
    5,884.88x = 8,827.22 × 3,110.96
  4. Step 4: Simplify right side
    5,884.88x = 27,461,128.33
  5. Step 5: Solve for x
    x = 27,461,128.33/5,884.88
  6. Step 6: Final answer
    x = 4,666.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.