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Finding the Fourth Proportional to 3,172.43, 4,752.27 and 1,524.08

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Solution

The fourth proportional to 3,172.43, 4,752.27 and 1,524.08 is: 2,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.43 : 4,752.27 = 1,524.08 : x
  2. Step 2: Convert to fraction form
    3,172.43/4,752.27 = 1,524.08/x
  3. Step 3: Cross multiply
    3,172.43x = 4,752.27 × 1,524.08
  4. Step 4: Simplify right side
    3,172.43x = 7,242,851.54
  5. Step 5: Solve for x
    x = 7,242,851.54/3,172.43
  6. Step 6: Final answer
    x = 2,283.06

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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.