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Finding the Fourth Proportional to 3,349.68, 5,021.28 and 1,400.82

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Solution

The fourth proportional to 3,349.68, 5,021.28 and 1,400.82 is: 2,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.68 : 5,021.28 = 1,400.82 : x
  2. Step 2: Convert to fraction form
    3,349.68/5,021.28 = 1,400.82/x
  3. Step 3: Cross multiply
    3,349.68x = 5,021.28 × 1,400.82
  4. Step 4: Simplify right side
    3,349.68x = 7,033,909.45
  5. Step 5: Solve for x
    x = 7,033,909.45/3,349.68
  6. Step 6: Final answer
    x = 2,099.88

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