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Finding the Fourth Proportional to 4,825.70, 7,239.37 and 1,539.80

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Solution

The fourth proportional to 4,825.70, 7,239.37 and 1,539.80 is: 2,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.70 : 7,239.37 = 1,539.80 : x
  2. Step 2: Convert to fraction form
    4,825.70/7,239.37 = 1,539.80/x
  3. Step 3: Cross multiply
    4,825.70x = 7,239.37 × 1,539.80
  4. Step 4: Simplify right side
    4,825.70x = 11,147,196.17
  5. Step 5: Solve for x
    x = 11,147,196.17/4,825.70
  6. Step 6: Final answer
    x = 2,309.96

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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.