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Finding the Fourth Proportional to 5,092, 7,636.92 and 4,123.60

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Solution

The fourth proportional to 5,092, 7,636.92 and 4,123.60 is: 6,184.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,092 : 7,636.92 = 4,123.60 : x
  2. Step 2: Convert to fraction form
    5,092/7,636.92 = 4,123.60/x
  3. Step 3: Cross multiply
    5,092x = 7,636.92 × 4,123.60
  4. Step 4: Simplify right side
    5,092x = 31,491,603.31
  5. Step 5: Solve for x
    x = 31,491,603.31/5,092
  6. Step 6: Final answer
    x = 6,184.53

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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.