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Finding the Fourth Proportional to 6,023.92, 8,312.06 and 3,666.82

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Solution

The fourth proportional to 6,023.92, 8,312.06 and 3,666.82 is: 5,059.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.92 : 8,312.06 = 3,666.82 : x
  2. Step 2: Convert to fraction form
    6,023.92/8,312.06 = 3,666.82/x
  3. Step 3: Cross multiply
    6,023.92x = 8,312.06 × 3,666.82
  4. Step 4: Simplify right side
    6,023.92x = 30,478,827.85
  5. Step 5: Solve for x
    x = 30,478,827.85/6,023.92
  6. Step 6: Final answer
    x = 5,059.63

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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.