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Finding the Fourth Proportional to 4,589.54, 6,884.31 and 1,816.86

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Solution

The fourth proportional to 4,589.54, 6,884.31 and 1,816.86 is: 2,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.54 : 6,884.31 = 1,816.86 : x
  2. Step 2: Convert to fraction form
    4,589.54/6,884.31 = 1,816.86/x
  3. Step 3: Cross multiply
    4,589.54x = 6,884.31 × 1,816.86
  4. Step 4: Simplify right side
    4,589.54x = 12,507,827.47
  5. Step 5: Solve for x
    x = 12,507,827.47/4,589.54
  6. Step 6: Final answer
    x = 2,725.29

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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.