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Finding the Fourth Proportional to 3,334.49, 4,998.92 and 1,578.47

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Solution

The fourth proportional to 3,334.49, 4,998.92 and 1,578.47 is: 2,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.49 : 4,998.92 = 1,578.47 : x
  2. Step 2: Convert to fraction form
    3,334.49/4,998.92 = 1,578.47/x
  3. Step 3: Cross multiply
    3,334.49x = 4,998.92 × 1,578.47
  4. Step 4: Simplify right side
    3,334.49x = 7,890,645.25
  5. Step 5: Solve for x
    x = 7,890,645.25/3,334.49
  6. Step 6: Final answer
    x = 2,366.38

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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.