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Finding the Fourth Proportional to 3,537.14, 5,305.35 and 940.34

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Solution

The fourth proportional to 3,537.14, 5,305.35 and 940.34 is: 1,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.14 : 5,305.35 = 940.34 : x
  2. Step 2: Convert to fraction form
    3,537.14/5,305.35 = 940.34/x
  3. Step 3: Cross multiply
    3,537.14x = 5,305.35 × 940.34
  4. Step 4: Simplify right side
    3,537.14x = 4,988,832.82
  5. Step 5: Solve for x
    x = 4,988,832.82/3,537.14
  6. Step 6: Final answer
    x = 1,410.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.