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Finding the Fourth Proportional to 5,893.48, 8,128.72 and 4,189.24

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Solution

The fourth proportional to 5,893.48, 8,128.72 and 4,189.24 is: 5,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.48 : 8,128.72 = 4,189.24 : x
  2. Step 2: Convert to fraction form
    5,893.48/8,128.72 = 4,189.24/x
  3. Step 3: Cross multiply
    5,893.48x = 8,128.72 × 4,189.24
  4. Step 4: Simplify right side
    5,893.48x = 34,053,158.97
  5. Step 5: Solve for x
    x = 34,053,158.97/5,893.48
  6. Step 6: Final answer
    x = 5,778.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.