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Finding the Fourth Proportional to 5,032.82, 7,550.53 and 1,912.88

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Solution

The fourth proportional to 5,032.82, 7,550.53 and 1,912.88 is: 2,869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.82 : 7,550.53 = 1,912.88 : x
  2. Step 2: Convert to fraction form
    5,032.82/7,550.53 = 1,912.88/x
  3. Step 3: Cross multiply
    5,032.82x = 7,550.53 × 1,912.88
  4. Step 4: Simplify right side
    5,032.82x = 14,443,262.61
  5. Step 5: Solve for x
    x = 14,443,262.61/5,032.82
  6. Step 6: Final answer
    x = 2,869.82

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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.