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Finding the Fourth Proportional to 5,089.48, 7,634.94 and 1,627

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Solution

The fourth proportional to 5,089.48, 7,634.94 and 1,627 is: 2,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.48 : 7,634.94 = 1,627 : x
  2. Step 2: Convert to fraction form
    5,089.48/7,634.94 = 1,627/x
  3. Step 3: Cross multiply
    5,089.48x = 7,634.94 × 1,627
  4. Step 4: Simplify right side
    5,089.48x = 12,422,047.38
  5. Step 5: Solve for x
    x = 12,422,047.38/5,089.48
  6. Step 6: Final answer
    x = 2,440.73

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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.