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Finding the Fourth Proportional to 6,008.40, 8,289 and 3,769.92

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Solution

The fourth proportional to 6,008.40, 8,289 and 3,769.92 is: 5,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,008.40 : 8,289 = 3,769.92 : x
  2. Step 2: Convert to fraction form
    6,008.40/8,289 = 3,769.92/x
  3. Step 3: Cross multiply
    6,008.40x = 8,289 × 3,769.92
  4. Step 4: Simplify right side
    6,008.40x = 31,248,866.88
  5. Step 5: Solve for x
    x = 31,248,866.88/6,008.40
  6. Step 6: Final answer
    x = 5,200.86

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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.