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Finding the Fourth Proportional to 5,697.54, 7,862.67 and 3,213.54

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Solution

The fourth proportional to 5,697.54, 7,862.67 and 3,213.54 is: 4,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.54 : 7,862.67 = 3,213.54 : x
  2. Step 2: Convert to fraction form
    5,697.54/7,862.67 = 3,213.54/x
  3. Step 3: Cross multiply
    5,697.54x = 7,862.67 × 3,213.54
  4. Step 4: Simplify right side
    5,697.54x = 25,267,004.55
  5. Step 5: Solve for x
    x = 25,267,004.55/5,697.54
  6. Step 6: Final answer
    x = 4,434.72

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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.