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Finding the Fourth Proportional to 4,926.64, 7,394.19 and 2,556.31

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Solution

The fourth proportional to 4,926.64, 7,394.19 and 2,556.31 is: 3,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.64 : 7,394.19 = 2,556.31 : x
  2. Step 2: Convert to fraction form
    4,926.64/7,394.19 = 2,556.31/x
  3. Step 3: Cross multiply
    4,926.64x = 7,394.19 × 2,556.31
  4. Step 4: Simplify right side
    4,926.64x = 18,901,841.84
  5. Step 5: Solve for x
    x = 18,901,841.84/4,926.64
  6. Step 6: Final answer
    x = 3,836.66

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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.