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Finding the Fourth Proportional to 3,527.86, 5,285.25 and 1,770.80

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Solution

The fourth proportional to 3,527.86, 5,285.25 and 1,770.80 is: 2,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.86 : 5,285.25 = 1,770.80 : x
  2. Step 2: Convert to fraction form
    3,527.86/5,285.25 = 1,770.80/x
  3. Step 3: Cross multiply
    3,527.86x = 5,285.25 × 1,770.80
  4. Step 4: Simplify right side
    3,527.86x = 9,359,120.70
  5. Step 5: Solve for x
    x = 9,359,120.70/3,527.86
  6. Step 6: Final answer
    x = 2,652.92

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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.