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Finding the Fourth Proportional to 3,052.14, 4,578.21 and 972.18

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Solution

The fourth proportional to 3,052.14, 4,578.21 and 972.18 is: 1,458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.14 : 4,578.21 = 972.18 : x
  2. Step 2: Convert to fraction form
    3,052.14/4,578.21 = 972.18/x
  3. Step 3: Cross multiply
    3,052.14x = 4,578.21 × 972.18
  4. Step 4: Simplify right side
    3,052.14x = 4,450,844.20
  5. Step 5: Solve for x
    x = 4,450,844.20/3,052.14
  6. Step 6: Final answer
    x = 1,458.27

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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.