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Finding the Fourth Proportional to 5,339.94, 8,010.83 and 1,642.09

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Solution

The fourth proportional to 5,339.94, 8,010.83 and 1,642.09 is: 2,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.94 : 8,010.83 = 1,642.09 : x
  2. Step 2: Convert to fraction form
    5,339.94/8,010.83 = 1,642.09/x
  3. Step 3: Cross multiply
    5,339.94x = 8,010.83 × 1,642.09
  4. Step 4: Simplify right side
    5,339.94x = 13,154,520.85
  5. Step 5: Solve for x
    x = 13,154,520.85/5,339.94
  6. Step 6: Final answer
    x = 2,463.42

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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.