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Finding the Fourth Proportional to 4,222.53, 6,334.67 and 1,448.55

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Solution

The fourth proportional to 4,222.53, 6,334.67 and 1,448.55 is: 2,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.53 : 6,334.67 = 1,448.55 : x
  2. Step 2: Convert to fraction form
    4,222.53/6,334.67 = 1,448.55/x
  3. Step 3: Cross multiply
    4,222.53x = 6,334.67 × 1,448.55
  4. Step 4: Simplify right side
    4,222.53x = 9,176,089.85
  5. Step 5: Solve for x
    x = 9,176,089.85/4,222.53
  6. Step 6: Final answer
    x = 2,173.13

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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.