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Finding the Fourth Proportional to 6,108.96, 8,430.52 and 3,456.28

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Solution

The fourth proportional to 6,108.96, 8,430.52 and 3,456.28 is: 4,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.96 : 8,430.52 = 3,456.28 : x
  2. Step 2: Convert to fraction form
    6,108.96/8,430.52 = 3,456.28/x
  3. Step 3: Cross multiply
    6,108.96x = 8,430.52 × 3,456.28
  4. Step 4: Simplify right side
    6,108.96x = 29,138,237.67
  5. Step 5: Solve for x
    x = 29,138,237.67/6,108.96
  6. Step 6: Final answer
    x = 4,769.75

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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.