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Finding the Fourth Proportional to 5,734.82, 7,913.40 and 3,216.41

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Solution

The fourth proportional to 5,734.82, 7,913.40 and 3,216.41 is: 4,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.82 : 7,913.40 = 3,216.41 : x
  2. Step 2: Convert to fraction form
    5,734.82/7,913.40 = 3,216.41/x
  3. Step 3: Cross multiply
    5,734.82x = 7,913.40 × 3,216.41
  4. Step 4: Simplify right side
    5,734.82x = 25,452,744.08
  5. Step 5: Solve for x
    x = 25,452,744.08/5,734.82
  6. Step 6: Final answer
    x = 4,438.28

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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.