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Finding the Fourth Proportional to 4,926.94, 7,385.72 and 3,167

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Solution

The fourth proportional to 4,926.94, 7,385.72 and 3,167 is: 4,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.94 : 7,385.72 = 3,167 : x
  2. Step 2: Convert to fraction form
    4,926.94/7,385.72 = 3,167/x
  3. Step 3: Cross multiply
    4,926.94x = 7,385.72 × 3,167
  4. Step 4: Simplify right side
    4,926.94x = 23,390,575.24
  5. Step 5: Solve for x
    x = 23,390,575.24/4,926.94
  6. Step 6: Final answer
    x = 4,747.49

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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.