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Finding the Fourth Proportional to 3,552, 4,901.78 and 1,936.90

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Solution

The fourth proportional to 3,552, 4,901.78 and 1,936.90 is: 2,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552 : 4,901.78 = 1,936.90 : x
  2. Step 2: Convert to fraction form
    3,552/4,901.78 = 1,936.90/x
  3. Step 3: Cross multiply
    3,552x = 4,901.78 × 1,936.90
  4. Step 4: Simplify right side
    3,552x = 9,494,257.68
  5. Step 5: Solve for x
    x = 9,494,257.68/3,552
  6. Step 6: Final answer
    x = 2,672.93

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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.