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Finding the Fourth Proportional to 3,173, 4,756.26 and 1,325.12

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Solution

The fourth proportional to 3,173, 4,756.26 and 1,325.12 is: 1,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173 : 4,756.26 = 1,325.12 : x
  2. Step 2: Convert to fraction form
    3,173/4,756.26 = 1,325.12/x
  3. Step 3: Cross multiply
    3,173x = 4,756.26 × 1,325.12
  4. Step 4: Simplify right side
    3,173x = 6,302,615.25
  5. Step 5: Solve for x
    x = 6,302,615.25/3,173
  6. Step 6: Final answer
    x = 1,986.33

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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.