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Finding the Fourth Proportional to 5,221.67, 7,833.71 and 1,523.95

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Solution

The fourth proportional to 5,221.67, 7,833.71 and 1,523.95 is: 2,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.67 : 7,833.71 = 1,523.95 : x
  2. Step 2: Convert to fraction form
    5,221.67/7,833.71 = 1,523.95/x
  3. Step 3: Cross multiply
    5,221.67x = 7,833.71 × 1,523.95
  4. Step 4: Simplify right side
    5,221.67x = 11,938,166.58
  5. Step 5: Solve for x
    x = 11,938,166.58/5,221.67
  6. Step 6: Final answer
    x = 2,286.28

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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.