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Finding the Fourth Proportional to 3,476, 5,214.56 and 2,387.36

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Solution

The fourth proportional to 3,476, 5,214.56 and 2,387.36 is: 3,581.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476 : 5,214.56 = 2,387.36 : x
  2. Step 2: Convert to fraction form
    3,476/5,214.56 = 2,387.36/x
  3. Step 3: Cross multiply
    3,476x = 5,214.56 × 2,387.36
  4. Step 4: Simplify right side
    3,476x = 12,449,031.96
  5. Step 5: Solve for x
    x = 12,449,031.96/3,476
  6. Step 6: Final answer
    x = 3,581.42

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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.