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Finding the Fourth Proportional to 3,476, 5,214 and 1,167.68

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Solution

The fourth proportional to 3,476, 5,214 and 1,167.68 is: 1,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476 : 5,214 = 1,167.68 : x
  2. Step 2: Convert to fraction form
    3,476/5,214 = 1,167.68/x
  3. Step 3: Cross multiply
    3,476x = 5,214 × 1,167.68
  4. Step 4: Simplify right side
    3,476x = 6,088,283.52
  5. Step 5: Solve for x
    x = 6,088,283.52/3,476
  6. Step 6: Final answer
    x = 1,751.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.