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Finding the Fourth Proportional to 5,173.24, 7,759.86 and 2,053.96

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Solution

The fourth proportional to 5,173.24, 7,759.86 and 2,053.96 is: 3,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.24 : 7,759.86 = 2,053.96 : x
  2. Step 2: Convert to fraction form
    5,173.24/7,759.86 = 2,053.96/x
  3. Step 3: Cross multiply
    5,173.24x = 7,759.86 × 2,053.96
  4. Step 4: Simplify right side
    5,173.24x = 15,938,442.05
  5. Step 5: Solve for x
    x = 15,938,442.05/5,173.24
  6. Step 6: Final answer
    x = 3,080.94

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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.