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Finding the Fourth Proportional to 3,267.05, 4,510.82 and 2,509.57

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Solution

The fourth proportional to 3,267.05, 4,510.82 and 2,509.57 is: 3,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.05 : 4,510.82 = 2,509.57 : x
  2. Step 2: Convert to fraction form
    3,267.05/4,510.82 = 2,509.57/x
  3. Step 3: Cross multiply
    3,267.05x = 4,510.82 × 2,509.57
  4. Step 4: Simplify right side
    3,267.05x = 11,320,194.72
  5. Step 5: Solve for x
    x = 11,320,194.72/3,267.05
  6. Step 6: Final answer
    x = 3,464.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.