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Finding the Fourth Proportional to 3,172.69, 4,756.47 and 1,325.20

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Solution

The fourth proportional to 3,172.69, 4,756.47 and 1,325.20 is: 1,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.69 : 4,756.47 = 1,325.20 : x
  2. Step 2: Convert to fraction form
    3,172.69/4,756.47 = 1,325.20/x
  3. Step 3: Cross multiply
    3,172.69x = 4,756.47 × 1,325.20
  4. Step 4: Simplify right side
    3,172.69x = 6,303,274.04
  5. Step 5: Solve for x
    x = 6,303,274.04/3,172.69
  6. Step 6: Final answer
    x = 1,986.73

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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.