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Finding the Fourth Proportional to 3,806.33, 5,709.51 and 1,341.19

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Solution

The fourth proportional to 3,806.33, 5,709.51 and 1,341.19 is: 2,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.33 : 5,709.51 = 1,341.19 : x
  2. Step 2: Convert to fraction form
    3,806.33/5,709.51 = 1,341.19/x
  3. Step 3: Cross multiply
    3,806.33x = 5,709.51 × 1,341.19
  4. Step 4: Simplify right side
    3,806.33x = 7,657,548.63
  5. Step 5: Solve for x
    x = 7,657,548.63/3,806.33
  6. Step 6: Final answer
    x = 2,011.80

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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.