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Finding the Fourth Proportional to 3,804.47, 5,698.61 and 1,827.19

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Solution

The fourth proportional to 3,804.47, 5,698.61 and 1,827.19 is: 2,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.47 : 5,698.61 = 1,827.19 : x
  2. Step 2: Convert to fraction form
    3,804.47/5,698.61 = 1,827.19/x
  3. Step 3: Cross multiply
    3,804.47x = 5,698.61 × 1,827.19
  4. Step 4: Simplify right side
    3,804.47x = 10,412,443.21
  5. Step 5: Solve for x
    x = 10,412,443.21/3,804.47
  6. Step 6: Final answer
    x = 2,736.90

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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.