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Finding the Fourth Proportional to 5,734.97, 7,918.92 and 4,672.89

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Solution

The fourth proportional to 5,734.97, 7,918.92 and 4,672.89 is: 6,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.97 : 7,918.92 = 4,672.89 : x
  2. Step 2: Convert to fraction form
    5,734.97/7,918.92 = 4,672.89/x
  3. Step 3: Cross multiply
    5,734.97x = 7,918.92 × 4,672.89
  4. Step 4: Simplify right side
    5,734.97x = 37,004,242.08
  5. Step 5: Solve for x
    x = 37,004,242.08/5,734.97
  6. Step 6: Final answer
    x = 6,452.39

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1.5x scale

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.