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Finding the Fourth Proportional to 3,870.93, 5,804.92 and 1,648.37

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Solution

The fourth proportional to 3,870.93, 5,804.92 and 1,648.37 is: 2,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.93 : 5,804.92 = 1,648.37 : x
  2. Step 2: Convert to fraction form
    3,870.93/5,804.92 = 1,648.37/x
  3. Step 3: Cross multiply
    3,870.93x = 5,804.92 × 1,648.37
  4. Step 4: Simplify right side
    3,870.93x = 9,568,644.54
  5. Step 5: Solve for x
    x = 9,568,644.54/3,870.93
  6. Step 6: Final answer
    x = 2,471.92

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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.