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Finding the Fourth Proportional to 5,340.54, 8,011.96 and 1,642.69

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Solution

The fourth proportional to 5,340.54, 8,011.96 and 1,642.69 is: 2,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.54 : 8,011.96 = 1,642.69 : x
  2. Step 2: Convert to fraction form
    5,340.54/8,011.96 = 1,642.69/x
  3. Step 3: Cross multiply
    5,340.54x = 8,011.96 × 1,642.69
  4. Step 4: Simplify right side
    5,340.54x = 13,161,142.44
  5. Step 5: Solve for x
    x = 13,161,142.44/5,340.54
  6. Step 6: Final answer
    x = 2,464.38

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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.