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Finding the Fourth Proportional to 3,860.31, 5,788.49 and 1,886.04

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Solution

The fourth proportional to 3,860.31, 5,788.49 and 1,886.04 is: 2,828.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.31 : 5,788.49 = 1,886.04 : x
  2. Step 2: Convert to fraction form
    3,860.31/5,788.49 = 1,886.04/x
  3. Step 3: Cross multiply
    3,860.31x = 5,788.49 × 1,886.04
  4. Step 4: Simplify right side
    3,860.31x = 10,917,314.25
  5. Step 5: Solve for x
    x = 10,917,314.25/3,860.31
  6. Step 6: Final answer
    x = 2,828.09

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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.