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Finding the Fourth Proportional to 4,500.44, 6,750.62 and 1,578.06

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Solution

The fourth proportional to 4,500.44, 6,750.62 and 1,578.06 is: 2,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500.44 : 6,750.62 = 1,578.06 : x
  2. Step 2: Convert to fraction form
    4,500.44/6,750.62 = 1,578.06/x
  3. Step 3: Cross multiply
    4,500.44x = 6,750.62 × 1,578.06
  4. Step 4: Simplify right side
    4,500.44x = 10,652,858.00
  5. Step 5: Solve for x
    x = 10,652,858.00/4,500.44
  6. Step 6: Final answer
    x = 2,367.07

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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.