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Finding the Fourth Proportional to 3,605.70, 5,405.52 and 1,527.33

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Solution

The fourth proportional to 3,605.70, 5,405.52 and 1,527.33 is: 2,289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.70 : 5,405.52 = 1,527.33 : x
  2. Step 2: Convert to fraction form
    3,605.70/5,405.52 = 1,527.33/x
  3. Step 3: Cross multiply
    3,605.70x = 5,405.52 × 1,527.33
  4. Step 4: Simplify right side
    3,605.70x = 8,256,012.86
  5. Step 5: Solve for x
    x = 8,256,012.86/3,605.70
  6. Step 6: Final answer
    x = 2,289.71

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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.