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Finding the Fourth Proportional to 5,804.57, 8,699.24 and 2,684.16

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Solution

The fourth proportional to 5,804.57, 8,699.24 and 2,684.16 is: 4,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.57 : 8,699.24 = 2,684.16 : x
  2. Step 2: Convert to fraction form
    5,804.57/8,699.24 = 2,684.16/x
  3. Step 3: Cross multiply
    5,804.57x = 8,699.24 × 2,684.16
  4. Step 4: Simplify right side
    5,804.57x = 23,350,138.62
  5. Step 5: Solve for x
    x = 23,350,138.62/5,804.57
  6. Step 6: Final answer
    x = 4,022.72

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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.