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Finding the Fourth Proportional to 3,542.91, 5,314.38 and 945.84

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Solution

The fourth proportional to 3,542.91, 5,314.38 and 945.84 is: 1,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.91 : 5,314.38 = 945.84 : x
  2. Step 2: Convert to fraction form
    3,542.91/5,314.38 = 945.84/x
  3. Step 3: Cross multiply
    3,542.91x = 5,314.38 × 945.84
  4. Step 4: Simplify right side
    3,542.91x = 5,026,569.56
  5. Step 5: Solve for x
    x = 5,026,569.56/3,542.91
  6. Step 6: Final answer
    x = 1,418.77

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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.