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Finding the Fourth Proportional to 5,882.04, 8,108.64 and 4,200.48

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Solution

The fourth proportional to 5,882.04, 8,108.64 and 4,200.48 is: 5,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.04 : 8,108.64 = 4,200.48 : x
  2. Step 2: Convert to fraction form
    5,882.04/8,108.64 = 4,200.48/x
  3. Step 3: Cross multiply
    5,882.04x = 8,108.64 × 4,200.48
  4. Step 4: Simplify right side
    5,882.04x = 34,060,180.15
  5. Step 5: Solve for x
    x = 34,060,180.15/5,882.04
  6. Step 6: Final answer
    x = 5,790.54

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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.