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Finding the Fourth Proportional to 4,208.65, 6,313.43 and 1,577.41

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Solution

The fourth proportional to 4,208.65, 6,313.43 and 1,577.41 is: 2,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208.65 : 6,313.43 = 1,577.41 : x
  2. Step 2: Convert to fraction form
    4,208.65/6,313.43 = 1,577.41/x
  3. Step 3: Cross multiply
    4,208.65x = 6,313.43 × 1,577.41
  4. Step 4: Simplify right side
    4,208.65x = 9,958,867.62
  5. Step 5: Solve for x
    x = 9,958,867.62/4,208.65
  6. Step 6: Final answer
    x = 2,366.29

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