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Finding the Fourth Proportional to 3,804.30, 5,707.80 and 1,855.17

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Solution

The fourth proportional to 3,804.30, 5,707.80 and 1,855.17 is: 2,783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.30 : 5,707.80 = 1,855.17 : x
  2. Step 2: Convert to fraction form
    3,804.30/5,707.80 = 1,855.17/x
  3. Step 3: Cross multiply
    3,804.30x = 5,707.80 × 1,855.17
  4. Step 4: Simplify right side
    3,804.30x = 10,588,939.33
  5. Step 5: Solve for x
    x = 10,588,939.33/3,804.30
  6. Step 6: Final answer
    x = 2,783.41

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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.