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Finding the Fourth Proportional to 3,253.93, 4,493.64 and 3,145.39

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Solution

The fourth proportional to 3,253.93, 4,493.64 and 3,145.39 is: 4,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.93 : 4,493.64 = 3,145.39 : x
  2. Step 2: Convert to fraction form
    3,253.93/4,493.64 = 3,145.39/x
  3. Step 3: Cross multiply
    3,253.93x = 4,493.64 × 3,145.39
  4. Step 4: Simplify right side
    3,253.93x = 14,134,250.88
  5. Step 5: Solve for x
    x = 14,134,250.88/3,253.93
  6. Step 6: Final answer
    x = 4,343.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.