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Finding the Fourth Proportional to 5,144.88, 7,713.75 and 1,633.74

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Solution

The fourth proportional to 5,144.88, 7,713.75 and 1,633.74 is: 2,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.88 : 7,713.75 = 1,633.74 : x
  2. Step 2: Convert to fraction form
    5,144.88/7,713.75 = 1,633.74/x
  3. Step 3: Cross multiply
    5,144.88x = 7,713.75 × 1,633.74
  4. Step 4: Simplify right side
    5,144.88x = 12,602,261.93
  5. Step 5: Solve for x
    x = 12,602,261.93/5,144.88
  6. Step 6: Final answer
    x = 2,449.48

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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.