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Finding the Fourth Proportional to 5,088.39, 7,634.25 and 1,800.75

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Solution

The fourth proportional to 5,088.39, 7,634.25 and 1,800.75 is: 2,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088.39 : 7,634.25 = 1,800.75 : x
  2. Step 2: Convert to fraction form
    5,088.39/7,634.25 = 1,800.75/x
  3. Step 3: Cross multiply
    5,088.39x = 7,634.25 × 1,800.75
  4. Step 4: Simplify right side
    5,088.39x = 13,747,375.69
  5. Step 5: Solve for x
    x = 13,747,375.69/5,088.39
  6. Step 6: Final answer
    x = 2,701.71

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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.