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Finding the Fourth Proportional to 3,443.49, 5,164.43 and 978.53

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Solution

The fourth proportional to 3,443.49, 5,164.43 and 978.53 is: 1,467.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.49 : 5,164.43 = 978.53 : x
  2. Step 2: Convert to fraction form
    3,443.49/5,164.43 = 978.53/x
  3. Step 3: Cross multiply
    3,443.49x = 5,164.43 × 978.53
  4. Step 4: Simplify right side
    3,443.49x = 5,053,518.97
  5. Step 5: Solve for x
    x = 5,053,518.97/3,443.49
  6. Step 6: Final answer
    x = 1,467.56

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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.