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Finding the Fourth Proportional to 4,927.18, 7,379 and 2,842.82

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Solution

The fourth proportional to 4,927.18, 7,379 and 2,842.82 is: 4,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.18 : 7,379 = 2,842.82 : x
  2. Step 2: Convert to fraction form
    4,927.18/7,379 = 2,842.82/x
  3. Step 3: Cross multiply
    4,927.18x = 7,379 × 2,842.82
  4. Step 4: Simplify right side
    4,927.18x = 20,977,168.78
  5. Step 5: Solve for x
    x = 20,977,168.78/4,927.18
  6. Step 6: Final answer
    x = 4,257.44

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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.