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Finding the Fourth Proportional to 3,605.57, 5,409.72 and 1,415.82

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Solution

The fourth proportional to 3,605.57, 5,409.72 and 1,415.82 is: 2,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.57 : 5,409.72 = 1,415.82 : x
  2. Step 2: Convert to fraction form
    3,605.57/5,409.72 = 1,415.82/x
  3. Step 3: Cross multiply
    3,605.57x = 5,409.72 × 1,415.82
  4. Step 4: Simplify right side
    3,605.57x = 7,659,189.77
  5. Step 5: Solve for x
    x = 7,659,189.77/3,605.57
  6. Step 6: Final answer
    x = 2,124.27

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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.