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Finding the Fourth Proportional to 2,709.32, 3,735.05 and 2,672.33

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Solution

The fourth proportional to 2,709.32, 3,735.05 and 2,672.33 is: 3,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.32 : 3,735.05 = 2,672.33 : x
  2. Step 2: Convert to fraction form
    2,709.32/3,735.05 = 2,672.33/x
  3. Step 3: Cross multiply
    2,709.32x = 3,735.05 × 2,672.33
  4. Step 4: Simplify right side
    2,709.32x = 9,981,254.13
  5. Step 5: Solve for x
    x = 9,981,254.13/2,709.32
  6. Step 6: Final answer
    x = 3,684.05

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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.