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Finding the Fourth Proportional to 5,369.10, 7,410.16 and 3,274.44

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Solution

The fourth proportional to 5,369.10, 7,410.16 and 3,274.44 is: 4,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.10 : 7,410.16 = 3,274.44 : x
  2. Step 2: Convert to fraction form
    5,369.10/7,410.16 = 3,274.44/x
  3. Step 3: Cross multiply
    5,369.10x = 7,410.16 × 3,274.44
  4. Step 4: Simplify right side
    5,369.10x = 24,264,087.26
  5. Step 5: Solve for x
    x = 24,264,087.26/5,369.10
  6. Step 6: Final answer
    x = 4,519.21

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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.