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Finding the Fourth Proportional to 5,182.67, 7,755.33 and 4,460.96

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Solution

The fourth proportional to 5,182.67, 7,755.33 and 4,460.96 is: 6,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.67 : 7,755.33 = 4,460.96 : x
  2. Step 2: Convert to fraction form
    5,182.67/7,755.33 = 4,460.96/x
  3. Step 3: Cross multiply
    5,182.67x = 7,755.33 × 4,460.96
  4. Step 4: Simplify right side
    5,182.67x = 34,596,216.92
  5. Step 5: Solve for x
    x = 34,596,216.92/5,182.67
  6. Step 6: Final answer
    x = 6,675.37

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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.