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Finding the Fourth Proportional to 5,887.26, 8,829.84 and 3,426.90

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Solution

The fourth proportional to 5,887.26, 8,829.84 and 3,426.90 is: 5,139.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.26 : 8,829.84 = 3,426.90 : x
  2. Step 2: Convert to fraction form
    5,887.26/8,829.84 = 3,426.90/x
  3. Step 3: Cross multiply
    5,887.26x = 8,829.84 × 3,426.90
  4. Step 4: Simplify right side
    5,887.26x = 30,258,978.70
  5. Step 5: Solve for x
    x = 30,258,978.70/5,887.26
  6. Step 6: Final answer
    x = 5,139.74

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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.