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Finding the Fourth Proportional to 5,884.88, 8,829.14 and 2,422.13

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Solution

The fourth proportional to 5,884.88, 8,829.14 and 2,422.13 is: 3,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.88 : 8,829.14 = 2,422.13 : x
  2. Step 2: Convert to fraction form
    5,884.88/8,829.14 = 2,422.13/x
  3. Step 3: Cross multiply
    5,884.88x = 8,829.14 × 2,422.13
  4. Step 4: Simplify right side
    5,884.88x = 21,385,268.61
  5. Step 5: Solve for x
    x = 21,385,268.61/5,884.88
  6. Step 6: Final answer
    x = 3,633.94

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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.