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Finding the Fourth Proportional to 5,743.71, 7,926.12 and 3,504.78

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Solution

The fourth proportional to 5,743.71, 7,926.12 and 3,504.78 is: 4,836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.71 : 7,926.12 = 3,504.78 : x
  2. Step 2: Convert to fraction form
    5,743.71/7,926.12 = 3,504.78/x
  3. Step 3: Cross multiply
    5,743.71x = 7,926.12 × 3,504.78
  4. Step 4: Simplify right side
    5,743.71x = 27,779,306.85
  5. Step 5: Solve for x
    x = 27,779,306.85/5,743.71
  6. Step 6: Final answer
    x = 4,836.47

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