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Finding the Fourth Proportional to 5,456, 8,184.12 and 1,352

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Solution

The fourth proportional to 5,456, 8,184.12 and 1,352 is: 2,028.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456 : 8,184.12 = 1,352 : x
  2. Step 2: Convert to fraction form
    5,456/8,184.12 = 1,352/x
  3. Step 3: Cross multiply
    5,456x = 8,184.12 × 1,352
  4. Step 4: Simplify right side
    5,456x = 11,064,930.24
  5. Step 5: Solve for x
    x = 11,064,930.24/5,456
  6. Step 6: Final answer
    x = 2,028.03

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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.