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Finding the Fourth Proportional to 4,568.37, 6,852.90 and 1,448.28

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Solution

The fourth proportional to 4,568.37, 6,852.90 and 1,448.28 is: 2,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.37 : 6,852.90 = 1,448.28 : x
  2. Step 2: Convert to fraction form
    4,568.37/6,852.90 = 1,448.28/x
  3. Step 3: Cross multiply
    4,568.37x = 6,852.90 × 1,448.28
  4. Step 4: Simplify right side
    4,568.37x = 9,924,923.44
  5. Step 5: Solve for x
    x = 9,924,923.44/4,568.37
  6. Step 6: Final answer
    x = 2,172.53

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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.