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Finding the Fourth Proportional to 3,562.98, 5,345.09 and 1,589.31

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Solution

The fourth proportional to 3,562.98, 5,345.09 and 1,589.31 is: 2,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.98 : 5,345.09 = 1,589.31 : x
  2. Step 2: Convert to fraction form
    3,562.98/5,345.09 = 1,589.31/x
  3. Step 3: Cross multiply
    3,562.98x = 5,345.09 × 1,589.31
  4. Step 4: Simplify right side
    3,562.98x = 8,494,997.04
  5. Step 5: Solve for x
    x = 8,494,997.04/3,562.98
  6. Step 6: Final answer
    x = 2,384.24

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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.