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Finding the Fourth Proportional to 3,190.68, 4,750.16 and 3,175.23

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Solution

The fourth proportional to 3,190.68, 4,750.16 and 3,175.23 is: 4,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.68 : 4,750.16 = 3,175.23 : x
  2. Step 2: Convert to fraction form
    3,190.68/4,750.16 = 3,175.23/x
  3. Step 3: Cross multiply
    3,190.68x = 4,750.16 × 3,175.23
  4. Step 4: Simplify right side
    3,190.68x = 15,082,834.66
  5. Step 5: Solve for x
    x = 15,082,834.66/3,190.68
  6. Step 6: Final answer
    x = 4,727.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.