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Finding the Fourth Proportional to 5,642.40, 8,450.56 and 5,374.56

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Solution

The fourth proportional to 5,642.40, 8,450.56 and 5,374.56 is: 8,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.40 : 8,450.56 = 5,374.56 : x
  2. Step 2: Convert to fraction form
    5,642.40/8,450.56 = 5,374.56/x
  3. Step 3: Cross multiply
    5,642.40x = 8,450.56 × 5,374.56
  4. Step 4: Simplify right side
    5,642.40x = 45,418,041.75
  5. Step 5: Solve for x
    x = 45,418,041.75/5,642.40
  6. Step 6: Final answer
    x = 8,049.42

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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.