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Finding the Fourth Proportional to 3,642.94, 5,459.57 and 1,450.46

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Solution

The fourth proportional to 3,642.94, 5,459.57 and 1,450.46 is: 2,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.94 : 5,459.57 = 1,450.46 : x
  2. Step 2: Convert to fraction form
    3,642.94/5,459.57 = 1,450.46/x
  3. Step 3: Cross multiply
    3,642.94x = 5,459.57 × 1,450.46
  4. Step 4: Simplify right side
    3,642.94x = 7,918,880.65
  5. Step 5: Solve for x
    x = 7,918,880.65/3,642.94
  6. Step 6: Final answer
    x = 2,173.76

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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.