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Finding the Fourth Proportional to 3,147.62, 4,720.94 and 1,146.10

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Solution

The fourth proportional to 3,147.62, 4,720.94 and 1,146.10 is: 1,718.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.62 : 4,720.94 = 1,146.10 : x
  2. Step 2: Convert to fraction form
    3,147.62/4,720.94 = 1,146.10/x
  3. Step 3: Cross multiply
    3,147.62x = 4,720.94 × 1,146.10
  4. Step 4: Simplify right side
    3,147.62x = 5,410,669.33
  5. Step 5: Solve for x
    x = 5,410,669.33/3,147.62
  6. Step 6: Final answer
    x = 1,718.97

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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.