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Finding the Fourth Proportional to 3,052.41, 4,578.37 and 972.33

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Solution

The fourth proportional to 3,052.41, 4,578.37 and 972.33 is: 1,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.41 : 4,578.37 = 972.33 : x
  2. Step 2: Convert to fraction form
    3,052.41/4,578.37 = 972.33/x
  3. Step 3: Cross multiply
    3,052.41x = 4,578.37 × 972.33
  4. Step 4: Simplify right side
    3,052.41x = 4,451,701.24
  5. Step 5: Solve for x
    x = 4,451,701.24/3,052.41
  6. Step 6: Final answer
    x = 1,458.42

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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.