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Finding the Fourth Proportional to 5,960, 8,225.16 and 3,476

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Solution

The fourth proportional to 5,960, 8,225.16 and 3,476 is: 4,797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960 : 8,225.16 = 3,476 : x
  2. Step 2: Convert to fraction form
    5,960/8,225.16 = 3,476/x
  3. Step 3: Cross multiply
    5,960x = 8,225.16 × 3,476
  4. Step 4: Simplify right side
    5,960x = 28,590,656.16
  5. Step 5: Solve for x
    x = 28,590,656.16/5,960
  6. Step 6: Final answer
    x = 4,797.09

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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.