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Finding the Fourth Proportional to 6,288.86, 8,678.21 and 3,456.17

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Solution

The fourth proportional to 6,288.86, 8,678.21 and 3,456.17 is: 4,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.86 : 8,678.21 = 3,456.17 : x
  2. Step 2: Convert to fraction form
    6,288.86/8,678.21 = 3,456.17/x
  3. Step 3: Cross multiply
    6,288.86x = 8,678.21 × 3,456.17
  4. Step 4: Simplify right side
    6,288.86x = 29,993,402.70
  5. Step 5: Solve for x
    x = 29,993,402.70/6,288.86
  6. Step 6: Final answer
    x = 4,769.29

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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.