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Finding the Fourth Proportional to 5,343, 8,013.48 and 1,446.88

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Solution

The fourth proportional to 5,343, 8,013.48 and 1,446.88 is: 2,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343 : 8,013.48 = 1,446.88 : x
  2. Step 2: Convert to fraction form
    5,343/8,013.48 = 1,446.88/x
  3. Step 3: Cross multiply
    5,343x = 8,013.48 × 1,446.88
  4. Step 4: Simplify right side
    5,343x = 11,594,543.94
  5. Step 5: Solve for x
    x = 11,594,543.94/5,343
  6. Step 6: Final answer
    x = 2,170.04

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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.