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Finding the Fourth Proportional to 5,893.67, 8,830.12 and 3,114.22

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Solution

The fourth proportional to 5,893.67, 8,830.12 and 3,114.22 is: 4,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.67 : 8,830.12 = 3,114.22 : x
  2. Step 2: Convert to fraction form
    5,893.67/8,830.12 = 3,114.22/x
  3. Step 3: Cross multiply
    5,893.67x = 8,830.12 × 3,114.22
  4. Step 4: Simplify right side
    5,893.67x = 27,498,936.31
  5. Step 5: Solve for x
    x = 27,498,936.31/5,893.67
  6. Step 6: Final answer
    x = 4,665.84

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1.5x scale

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.