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Finding the Fourth Proportional to 5,222.67, 7,829.01 and 1,934.88

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Solution

The fourth proportional to 5,222.67, 7,829.01 and 1,934.88 is: 2,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.67 : 7,829.01 = 1,934.88 : x
  2. Step 2: Convert to fraction form
    5,222.67/7,829.01 = 1,934.88/x
  3. Step 3: Cross multiply
    5,222.67x = 7,829.01 × 1,934.88
  4. Step 4: Simplify right side
    5,222.67x = 15,148,194.87
  5. Step 5: Solve for x
    x = 15,148,194.87/5,222.67
  6. Step 6: Final answer
    x = 2,900.47

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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.