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Finding the Fourth Proportional to 3,950.64, 5,926.86 and 1,353.42

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Solution

The fourth proportional to 3,950.64, 5,926.86 and 1,353.42 is: 2,030.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.64 : 5,926.86 = 1,353.42 : x
  2. Step 2: Convert to fraction form
    3,950.64/5,926.86 = 1,353.42/x
  3. Step 3: Cross multiply
    3,950.64x = 5,926.86 × 1,353.42
  4. Step 4: Simplify right side
    3,950.64x = 8,021,530.86
  5. Step 5: Solve for x
    x = 8,021,530.86/3,950.64
  6. Step 6: Final answer
    x = 2,030.44

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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.