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Finding the Fourth Proportional to 3,446.45, 4,755.71 and 1,954.07

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Solution

The fourth proportional to 3,446.45, 4,755.71 and 1,954.07 is: 2,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.45 : 4,755.71 = 1,954.07 : x
  2. Step 2: Convert to fraction form
    3,446.45/4,755.71 = 1,954.07/x
  3. Step 3: Cross multiply
    3,446.45x = 4,755.71 × 1,954.07
  4. Step 4: Simplify right side
    3,446.45x = 9,292,980.47
  5. Step 5: Solve for x
    x = 9,292,980.47/3,446.45
  6. Step 6: Final answer
    x = 2,696.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.