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Finding the Fourth Proportional to 3,806.04, 5,709.82 and 1,858.28

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Solution

The fourth proportional to 3,806.04, 5,709.82 and 1,858.28 is: 2,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.04 : 5,709.82 = 1,858.28 : x
  2. Step 2: Convert to fraction form
    3,806.04/5,709.82 = 1,858.28/x
  3. Step 3: Cross multiply
    3,806.04x = 5,709.82 × 1,858.28
  4. Step 4: Simplify right side
    3,806.04x = 10,610,444.31
  5. Step 5: Solve for x
    x = 10,610,444.31/3,806.04
  6. Step 6: Final answer
    x = 2,787.79

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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.