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Finding the Fourth Proportional to 5,144.94, 7,707.69 and 2,539.98

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Solution

The fourth proportional to 5,144.94, 7,707.69 and 2,539.98 is: 3,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.94 : 7,707.69 = 2,539.98 : x
  2. Step 2: Convert to fraction form
    5,144.94/7,707.69 = 2,539.98/x
  3. Step 3: Cross multiply
    5,144.94x = 7,707.69 × 2,539.98
  4. Step 4: Simplify right side
    5,144.94x = 19,577,378.45
  5. Step 5: Solve for x
    x = 19,577,378.45/5,144.94
  6. Step 6: Final answer
    x = 3,805.17

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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.