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Finding the Fourth Proportional to 3,537.10, 5,305.64 and 940.04

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Solution

The fourth proportional to 3,537.10, 5,305.64 and 940.04 is: 1,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.10 : 5,305.64 = 940.04 : x
  2. Step 2: Convert to fraction form
    3,537.10/5,305.64 = 940.04/x
  3. Step 3: Cross multiply
    3,537.10x = 5,305.64 × 940.04
  4. Step 4: Simplify right side
    3,537.10x = 4,987,513.83
  5. Step 5: Solve for x
    x = 4,987,513.83/3,537.10
  6. Step 6: Final answer
    x = 1,410.06

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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.