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Finding the Fourth Proportional to 3,264.38, 4,894.34 and 1,072.79

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Solution

The fourth proportional to 3,264.38, 4,894.34 and 1,072.79 is: 1,608.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.38 : 4,894.34 = 1,072.79 : x
  2. Step 2: Convert to fraction form
    3,264.38/4,894.34 = 1,072.79/x
  3. Step 3: Cross multiply
    3,264.38x = 4,894.34 × 1,072.79
  4. Step 4: Simplify right side
    3,264.38x = 5,250,569.17
  5. Step 5: Solve for x
    x = 5,250,569.17/3,264.38
  6. Step 6: Final answer
    x = 1,608.45

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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.