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Finding the Fourth Proportional to 3,869.94, 5,804.73 and 948.09

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Solution

The fourth proportional to 3,869.94, 5,804.73 and 948.09 is: 1,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.94 : 5,804.73 = 948.09 : x
  2. Step 2: Convert to fraction form
    3,869.94/5,804.73 = 948.09/x
  3. Step 3: Cross multiply
    3,869.94x = 5,804.73 × 948.09
  4. Step 4: Simplify right side
    3,869.94x = 5,503,406.47
  5. Step 5: Solve for x
    x = 5,503,406.47/3,869.94
  6. Step 6: Final answer
    x = 1,422.09

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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.