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Finding the Fourth Proportional to 5,340.40, 8,010.62 and 1,642.56

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Solution

The fourth proportional to 5,340.40, 8,010.62 and 1,642.56 is: 2,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.40 : 8,010.62 = 1,642.56 : x
  2. Step 2: Convert to fraction form
    5,340.40/8,010.62 = 1,642.56/x
  3. Step 3: Cross multiply
    5,340.40x = 8,010.62 × 1,642.56
  4. Step 4: Simplify right side
    5,340.40x = 13,157,923.99
  5. Step 5: Solve for x
    x = 13,157,923.99/5,340.40
  6. Step 6: Final answer
    x = 2,463.85

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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.