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Finding the Fourth Proportional to 5,884.90, 8,827.33 and 1,989.25

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Solution

The fourth proportional to 5,884.90, 8,827.33 and 1,989.25 is: 2,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.90 : 8,827.33 = 1,989.25 : x
  2. Step 2: Convert to fraction form
    5,884.90/8,827.33 = 1,989.25/x
  3. Step 3: Cross multiply
    5,884.90x = 8,827.33 × 1,989.25
  4. Step 4: Simplify right side
    5,884.90x = 17,559,766.20
  5. Step 5: Solve for x
    x = 17,559,766.20/5,884.90
  6. Step 6: Final answer
    x = 2,983.87

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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.