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Finding the Fourth Proportional to 4,608.53, 6,906.62 and 4,313.29

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Solution

The fourth proportional to 4,608.53, 6,906.62 and 4,313.29 is: 6,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.53 : 6,906.62 = 4,313.29 : x
  2. Step 2: Convert to fraction form
    4,608.53/6,906.62 = 4,313.29/x
  3. Step 3: Cross multiply
    4,608.53x = 6,906.62 × 4,313.29
  4. Step 4: Simplify right side
    4,608.53x = 29,790,254.98
  5. Step 5: Solve for x
    x = 29,790,254.98/4,608.53
  6. Step 6: Final answer
    x = 6,464.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.