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Finding the Fourth Proportional to 6,224.96, 8,590.41 and 3,430.46

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Solution

The fourth proportional to 6,224.96, 8,590.41 and 3,430.46 is: 4,734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.96 : 8,590.41 = 3,430.46 : x
  2. Step 2: Convert to fraction form
    6,224.96/8,590.41 = 3,430.46/x
  3. Step 3: Cross multiply
    6,224.96x = 8,590.41 × 3,430.46
  4. Step 4: Simplify right side
    6,224.96x = 29,469,057.89
  5. Step 5: Solve for x
    x = 29,469,057.89/6,224.96
  6. Step 6: Final answer
    x = 4,734.02

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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.