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Finding the Fourth Proportional to 5,152.67, 7,729.02 and 2,190.35

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Solution

The fourth proportional to 5,152.67, 7,729.02 and 2,190.35 is: 3,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.67 : 7,729.02 = 2,190.35 : x
  2. Step 2: Convert to fraction form
    5,152.67/7,729.02 = 2,190.35/x
  3. Step 3: Cross multiply
    5,152.67x = 7,729.02 × 2,190.35
  4. Step 4: Simplify right side
    5,152.67x = 16,929,220.31
  5. Step 5: Solve for x
    x = 16,929,220.31/5,152.67
  6. Step 6: Final answer
    x = 3,285.53

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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.