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Finding the Fourth Proportional to 5,827.03, 8,041.28 and 3,174.43

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Solution

The fourth proportional to 5,827.03, 8,041.28 and 3,174.43 is: 4,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.03 : 8,041.28 = 3,174.43 : x
  2. Step 2: Convert to fraction form
    5,827.03/8,041.28 = 3,174.43/x
  3. Step 3: Cross multiply
    5,827.03x = 8,041.28 × 3,174.43
  4. Step 4: Simplify right side
    5,827.03x = 25,526,468.30
  5. Step 5: Solve for x
    x = 25,526,468.30/5,827.03
  6. Step 6: Final answer
    x = 4,380.70

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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.