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Finding the Fourth Proportional to 6,108.51, 8,430.28 and 3,456.78

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Solution

The fourth proportional to 6,108.51, 8,430.28 and 3,456.78 is: 4,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.51 : 8,430.28 = 3,456.78 : x
  2. Step 2: Convert to fraction form
    6,108.51/8,430.28 = 3,456.78/x
  3. Step 3: Cross multiply
    6,108.51x = 8,430.28 × 3,456.78
  4. Step 4: Simplify right side
    6,108.51x = 29,141,583.04
  5. Step 5: Solve for x
    x = 29,141,583.04/6,108.51
  6. Step 6: Final answer
    x = 4,770.65

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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.