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Finding the Fourth Proportional to 4,645.16, 6,383.05 and 3,712.04

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Solution

The fourth proportional to 4,645.16, 6,383.05 and 3,712.04 is: 5,100.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.16 : 6,383.05 = 3,712.04 : x
  2. Step 2: Convert to fraction form
    4,645.16/6,383.05 = 3,712.04/x
  3. Step 3: Cross multiply
    4,645.16x = 6,383.05 × 3,712.04
  4. Step 4: Simplify right side
    4,645.16x = 23,694,136.92
  5. Step 5: Solve for x
    x = 23,694,136.92/4,645.16
  6. Step 6: Final answer
    x = 5,100.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.