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Finding the Fourth Proportional to 5,268.36, 7,902.90 and 1,804.68

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Solution

The fourth proportional to 5,268.36, 7,902.90 and 1,804.68 is: 2,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.36 : 7,902.90 = 1,804.68 : x
  2. Step 2: Convert to fraction form
    5,268.36/7,902.90 = 1,804.68/x
  3. Step 3: Cross multiply
    5,268.36x = 7,902.90 × 1,804.68
  4. Step 4: Simplify right side
    5,268.36x = 14,262,205.57
  5. Step 5: Solve for x
    x = 14,262,205.57/5,268.36
  6. Step 6: Final answer
    x = 2,707.14

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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.