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Finding the Fourth Proportional to 3,527.89, 5,288.94 and 1,770.77

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Solution

The fourth proportional to 3,527.89, 5,288.94 and 1,770.77 is: 2,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.89 : 5,288.94 = 1,770.77 : x
  2. Step 2: Convert to fraction form
    3,527.89/5,288.94 = 1,770.77/x
  3. Step 3: Cross multiply
    3,527.89x = 5,288.94 × 1,770.77
  4. Step 4: Simplify right side
    3,527.89x = 9,365,496.28
  5. Step 5: Solve for x
    x = 9,365,496.28/3,527.89
  6. Step 6: Final answer
    x = 2,654.70

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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.