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Finding the Fourth Proportional to 6,027.66, 9,040.19 and 5,731.34

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Solution

The fourth proportional to 6,027.66, 9,040.19 and 5,731.34 is: 8,595.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,027.66 : 9,040.19 = 5,731.34 : x
  2. Step 2: Convert to fraction form
    6,027.66/9,040.19 = 5,731.34/x
  3. Step 3: Cross multiply
    6,027.66x = 9,040.19 × 5,731.34
  4. Step 4: Simplify right side
    6,027.66x = 51,812,328.70
  5. Step 5: Solve for x
    x = 51,812,328.70/6,027.66
  6. Step 6: Final answer
    x = 8,595.76

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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.