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Finding the Fourth Proportional to 5,827.13, 8,041.17 and 3,174.54

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Solution

The fourth proportional to 5,827.13, 8,041.17 and 3,174.54 is: 4,380.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.13 : 8,041.17 = 3,174.54 : x
  2. Step 2: Convert to fraction form
    5,827.13/8,041.17 = 3,174.54/x
  3. Step 3: Cross multiply
    5,827.13x = 8,041.17 × 3,174.54
  4. Step 4: Simplify right side
    5,827.13x = 25,527,015.81
  5. Step 5: Solve for x
    x = 25,527,015.81/5,827.13
  6. Step 6: Final answer
    x = 4,380.72

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Why These Related Problems?

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