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Finding the Fourth Proportional to 5,343, 8,014.52 and 1,447.41

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Solution

The fourth proportional to 5,343, 8,014.52 and 1,447.41 is: 2,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343 : 8,014.52 = 1,447.41 : x
  2. Step 2: Convert to fraction form
    5,343/8,014.52 = 1,447.41/x
  3. Step 3: Cross multiply
    5,343x = 8,014.52 × 1,447.41
  4. Step 4: Simplify right side
    5,343x = 11,600,296.39
  5. Step 5: Solve for x
    x = 11,600,296.39/5,343
  6. Step 6: Final answer
    x = 2,171.12

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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.