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Finding the Fourth Proportional to 3,869.08, 5,804.46 and 2,021.08

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Solution

The fourth proportional to 3,869.08, 5,804.46 and 2,021.08 is: 3,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.08 : 5,804.46 = 2,021.08 : x
  2. Step 2: Convert to fraction form
    3,869.08/5,804.46 = 2,021.08/x
  3. Step 3: Cross multiply
    3,869.08x = 5,804.46 × 2,021.08
  4. Step 4: Simplify right side
    3,869.08x = 11,731,278.02
  5. Step 5: Solve for x
    x = 11,731,278.02/3,869.08
  6. Step 6: Final answer
    x = 3,032.06

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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.