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Finding the Fourth Proportional to 3,854.72, 5,782.06 and 933.04

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Solution

The fourth proportional to 3,854.72, 5,782.06 and 933.04 is: 1,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.72 : 5,782.06 = 933.04 : x
  2. Step 2: Convert to fraction form
    3,854.72/5,782.06 = 933.04/x
  3. Step 3: Cross multiply
    3,854.72x = 5,782.06 × 933.04
  4. Step 4: Simplify right side
    3,854.72x = 5,394,893.26
  5. Step 5: Solve for x
    x = 5,394,893.26/3,854.72
  6. Step 6: Final answer
    x = 1,399.56

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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.