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Finding the Fourth Proportional to 5,734.46, 7,911.74 and 3,216.20

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Solution

The fourth proportional to 5,734.46, 7,911.74 and 3,216.20 is: 4,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.46 : 7,911.74 = 3,216.20 : x
  2. Step 2: Convert to fraction form
    5,734.46/7,911.74 = 3,216.20/x
  3. Step 3: Cross multiply
    5,734.46x = 7,911.74 × 3,216.20
  4. Step 4: Simplify right side
    5,734.46x = 25,445,738.19
  5. Step 5: Solve for x
    x = 25,445,738.19/5,734.46
  6. Step 6: Final answer
    x = 4,437.34

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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.