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Finding the Fourth Proportional to 4,101.54, 5,657.97 and 2,775.69

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Solution

The fourth proportional to 4,101.54, 5,657.97 and 2,775.69 is: 3,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.54 : 5,657.97 = 2,775.69 : x
  2. Step 2: Convert to fraction form
    4,101.54/5,657.97 = 2,775.69/x
  3. Step 3: Cross multiply
    4,101.54x = 5,657.97 × 2,775.69
  4. Step 4: Simplify right side
    4,101.54x = 15,704,770.75
  5. Step 5: Solve for x
    x = 15,704,770.75/4,101.54
  6. Step 6: Final answer
    x = 3,828.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.