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Finding the Fourth Proportional to 4,640.47, 6,400.32 and 3,994.80

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Solution

The fourth proportional to 4,640.47, 6,400.32 and 3,994.80 is: 5,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.47 : 6,400.32 = 3,994.80 : x
  2. Step 2: Convert to fraction form
    4,640.47/6,400.32 = 3,994.80/x
  3. Step 3: Cross multiply
    4,640.47x = 6,400.32 × 3,994.80
  4. Step 4: Simplify right side
    4,640.47x = 25,567,998.34
  5. Step 5: Solve for x
    x = 25,567,998.34/4,640.47
  6. Step 6: Final answer
    x = 5,509.79

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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.