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Finding the Fourth Proportional to 3,527.39, 5,288.19 and 1,770.27

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Solution

The fourth proportional to 3,527.39, 5,288.19 and 1,770.27 is: 2,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.39 : 5,288.19 = 1,770.27 : x
  2. Step 2: Convert to fraction form
    3,527.39/5,288.19 = 1,770.27/x
  3. Step 3: Cross multiply
    3,527.39x = 5,288.19 × 1,770.27
  4. Step 4: Simplify right side
    3,527.39x = 9,361,541.76
  5. Step 5: Solve for x
    x = 9,361,541.76/3,527.39
  6. Step 6: Final answer
    x = 2,653.96

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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.